Birthday Present

Math Forum: Ask Dr. Math FAQ: The Birthday Problem -- Ask Dr. Math: FAQ The Birthday Problem Dr. Math FAQ || Classic Problems || Formulas || Search Dr. Math || Dr. Math Home Suppose you flip a coin and bet that it will come up tails. Since you are equally likely to get heads or tails, the probability of tails is 50%. This means that if you try this bet often, you should win about half the time. What if somebody offered to bet that at least two people in your math class had the same birthday? Would you take the bet? This question is more complicated than flipping a coin, because the chance of finding two people with the same birthday depends on the number of people you ask. If there were only one other person in your math class, you might be surprised to find out that she had the same birthday as you. If there were a pair of people with the same birthday in a class of 366 people, would you still be surprised? How large must a class be to make the probability of finding two people with the same birthday at least 50%? Let's forget about leap year when we solve this problem (no February 29 birthdays!) This way, we can assume that a year is always 365 days long. We'll start by figuring out the probability that two people have the same birthday. The first person can have any birthday. That gives him 365 possible birthdays out of 365 days, so the probability of the first person having the "right" birthday is 365/365, or 100%. The chance that the second person has the same birthday is 1/365. To find the probability that both people have this birthday, we have to multiply their separate probabilities. (365/365) * (1/365) = 1/365, or about 0.27%. Now, what about three people ? The chance of the first and second person sharing a birthday is still 1/365. The first and third person might share a birthday instead. The probability of that is 1/365 as well. But what if the second and third person shared a birthday? And what if all three of them had the same birthday? Things are getting complicated fast. Four or five people would be even messier. Is there a simpler way? To solve the birthday problem, we need to use one of the basic rules of probability: the sum of the probability that an event will happen and the probability that the event won't happen is always 1. (In other words, the chance that anything might or might nothappen is always 100%.) If we can work out the probability that no two people will have the same birthday, we can use this rule to find the probability that two people will share a birthday: P(event happens) + P(event doesn't happen) = 1 P(two people share birthday) + P(no two people share birthday) = 1 P(two people share birthday) = 1 - P(no two people share birthday). So, what is the probability that no two people will share a birthday? Again, the first person can have any birthday. The second person's birthday has to be different. There are 364 different days to choose from, so the chance that two people have different birthdays is 364/365. That leaves 363 birthdays out of 365 open for the third person. To find the probability that both the second person and the third person will have different birthdays, we have to multiply: (365/365) * (364/365) * (363/365) = 132 132/133 225, which is about 99.18%. If we want to know the probability that four people will all have different birthdays, we multiply again: (364/365) * (363/365) * (362/365) = 47 831 784/ 48 627 125, or about 98.36%. We can keep on going the same way as long as we want. A formula for the probability that n people have different birthdays is ((365-1)/365) * ((365-2)/365) * ((365-3)/365) * . . . * ((365-n+1)/365). If you know permutation notation, you can write this formula as (365_P_n)/(365^n). That's the same as 365! / ((365-n)! * 365^n). We've made some progress, but we still haven't answered the original question: how large must a class be to make the probability of finding two people with the same birthday at least 50%? We know that the probability of finding at least two people with the same birthday is 1 minus the probability that everybody has a different birthday, and we know how to find the probability that everybody has a different birthday for any number of people. The easiest way to find the right class size is to use a calculator to try different numbers in the formula. It turns out that the smallest class where the chance of finding two people with the same birthday is more than 50% is... a class of 23 people . (The probability is about 50.73%.) From the Dr. Math archives: Probability Theory: Coincidental Birthday Probability of the Same Birthday within a Group Birthday Probabilities Three Share a Birthday The Birthday Problem; Queuing at a Bank Birthday Probability, Class of 25 One Person of Seven Born on Monday Odds of Left-Handedness in a Group From the Web: The Birthday Problem: A short lesson in probability , George Reese A Java applet that you can use to test different class sizes (it works better with small classes) and graphs of the probability for different numbers of people. The Law of Small Errors , Keith Devlin The birthday problem, and related questions - what's the probability that someone will have your birthday? Birthday Surprises, Ivars Peterson Birthday Problem, Eric Weisstein's World of Mathematics Coincidence, Alexander Bogomolny How to Read Mathematics, Shai Simonson and Fernando Gouveau This article uses an explanation of the birthday problem as an example. An Introduction to Mathematica and the "Birthday Problem," Louie Beuschlein For a general review of probability: Probability, Dr. Math FAQ Probability in the Real World, Dr. Math FAQ - Ursula Whitcher, for the Math Forum Submit your ownquestion to Dr. Math [ Privacy Policy ] [ Terms of Use ] Math Forum Home || Math Library || Quick Reference || Math Forum Search Ask Dr. Math ® © 1994-2005 The Math Forum http://mathforum.org/dr.math/

CREATIVE GIFT PLANNING Title:

Cancer Research and Prevention Foundation - Gift Planning: Creative Gift Planning Information printer friendly | contact us | site map | links 1 Thursday, March 31,2005 | Updated 2:53 pm » Make a Contribution » Corporate Giving » Gift Planning » Memorials & Tributes » Workplace Giving » Prevention Partners » PreventionP ioneers » Poker Donation » Car Donation REQUEST FOR MORE INFORMATION ABOUT CREATIVE GIFT PLANNING Title: Select a Title Ms. Mr. Mrs. Miss First Name: Middle Initial: Last Name: Address 1: Address 2: City: State: State -- Select One Alabama Alaska Arizona Arkansas California Colorado Connecticut Delaware District of Columbia Florida Georgia Hawaii Idaho Illinois Indiana Iowa Kansas Kentucky Louisiana Maine Massachusetts Maryland Michigan Minnesota Mississippi Missouri Montana North Carolina North Dakota Nebraska Nevada New Hampshire New Jersey New Mexico New York Ohio Oklahoma Oregon Pennsylvania Rhode Island South Carolina South Dakota Tennessee Texas Utah Virginia Vermont Washington West Virginia Wisconsin Wyoming Zip Code: Email: Home Phone Number: Office Phone Number: Best Time to Call -- Select One Morning Noon Evening Date of Birth (optional -- used to calculate sample gift illustrations and tax benefits): I am especially intested in: Gifts that provide income for me and benefit CRPF Gifts that provide income for CRPF with tax savings on trust's transfer to heirs Remembering CRPF in my Will ( Click here for sample bequest language .) Donating a retirement account or plan to CRPF Donating a residence, farm or vacation home to CRPF Donating tangible property to CRPF Donating appreciated securities to CRPF Donating a life insurance policy to CRPF I am interested in learning more about the Cancer Research and Prevention Foundation Cancer Research and Prevention Foundation 1600 Duke Street Alexandria, VA 22314 view our disclaimer phone: 800.227.2732 703.836.4412 fax: 703.836.4413 home | about us | healthy living | materials | programs | research | advocacy | press | donate | patients

Housewarming gifts Dating Photo

Housewarming gifts SY L.com > Online Dating Service > Flowers & Gifts > Popular gift ideas > Housewarming gifts Dating Photo Personals Meet singles Personal Ads Tour Join Articles Login Housewarming gifts Flowers & Gifts Your personal gift guide Gift aid Art of gift giving Choosing a perfect gift Gift packaging Gift wrapping Gift bags & boxes Gift cards & tags Popular gift ideas Thank you gifts Charitable gifts Baby & kids gifts Gifts for him Gifts for her Romantic gifts Religious gifts Get well gifts Party gifts Housewarming gifts Adult Gifts Sympathy gifts Gifts for friends Gifts for teens Business gifts Holiday gifts Graduation gift Easter gifts Valentines day gift Mothers day gift Fathers day gift Christmas gift Birthday gift Anniversary gift Bouquet & Arrangement Mothers Day Flowers Valentines Day Flowers Birthday Flowers Sympathy and funeral flowers Easter flowers Wedding flowers Flower language Exotic flowers Gerber daisies Carnations Tulips Roses Flowers & plants House plants Dried flowers Garden flowers Fresh cut & artificial flowers Flower market variety Seasonal flowers Flower delivery services Wholesale flowers Housewarming gifts Your friends or relatives are moving into a new house, and youre invited on the housewarming. Of course, guests arent supposed to come with empty hands, and the case is rather special. So you face a problem of a housewarming gift. A lot of different traditions are connected with moving into a new house. Some of them are very ancient, about most we dont know, and even less we follow. The times have changed a lot and so have done some of those traditions. Nowadays housewarming gifts arent supposed to be massive and expensive, as they were used to be before. But they should be useful. As well as in case of celebrating marriage, you are welcome to ask the hosts if they need anything on their new place. Nowadays its normal to present money, though it could be taken as offence in the previous centuries. Still you can present some symbolic housewarming gifts. It can be a figure of a household ghost, who is supposed to conjure evil away. There existed a tradition to let a cat or a cock into a new house first. So cats, cocks, hens and dogs are considered to be the keepers of a new home. Nobody expects that you will bring the whole zoo with you on the housewarming, but you may present some statues, figures and toys, shaped like these animals, or nicely decorated pictures with their images. Another ancient tradition is to hang a horseshoe, found on the road, over the door. So anything, that reminds of a horseshoe or has its shape, presented as a housewarming gift, will show the hosts that you wish they felt comfortable on the new place.. The prosaic, but useful gifts, like kitchen towels, set of glasses, frying pens, set of utensils, a small carpet in the corridor, bad-clothes wont excite a hostess too much. But you can be sure that already next day she might remember you in the warmest words. If you wan to give something both nice and useful, you may choose some original vases or wall clocks. Always keep in mind that humble but long-lasting gifts are much better, than a bunch of roses which will be thrown away by the end by the week. Online Dating Service · Photo Personals · Meet singles · Personal Ads · Directory · Dating Site · Dating advice · Articles Privacy Statement | Terms of Use | Site Map | Contact Us | Report a Bug © 2004,2005 SearchYourLove TM partners sites: Great Holidays and Hotels // Health and Beauty Journal // MotorListing // Millennium Rise // EstateIndex // Russian brides // Mail order brides // Casino journal // Dating & Personals // Admotor Russian brides // Gambling online // Mail order brides // Admotor // Millennium Rise // MotorListing // EstateIndex Great Holidays and Hotels // Health and Beauty Journal

Buy Gift Card and

Best Buy GC - $50 Gift Card - GAMERS JC ');}else {document.write('');}//-- Entire Site Electronics Cameras & Camcorders Computers Home Appliances Phones & Communications Office Products Music -Album Title -Artist -Song Movies -Title -Person Games Software Resources Birthday Best Buy Geek Squad Weddings Music Games Movies Purse Best Buy Global Gift Cards Product Info Our Price: $50.00 Free Shipping In Stock Usually ships in 1 business day Estimate arrival time . Store Availability Not Available Best Buy GC$50 Gift Card Model: GAMERS JC So many games, so many systems. Where to start? Give a Best Buy Gift Card and let the gamers in your life decide themselves. Our gaming-themed Gift Cards are shipped free of charge, good toward any future in-store and online purchase. More Options Compare with products in this price range. About Us News Center Careers For Our Investors Business to Business Community Relations Store Pickup Returns & Exchanges Store Locator Weekly Ad Financing Offers Buy Gift Cards Check Gift Card Balance Best Buy Credit Card Affiliates Program Offer Sign-Up Rebates Warranties Service Plans PC Upgrades Repairs Replacement Parts Software End User License Agreement Car Home Entertainment Satellite Appliances Welcome . Please create an account or Sign in . Your Cart Contains 0 items Subtotal: $0.00 View Cart | Checkout Your Account Best Buy Credit Order Status Wish List Gift Cards Order Status Shipping Rates Returns Rebates Store Pickup Site Map Performance Plans Your California Privacy Rights Conditions of Use | Legal Policies | Privacy Policy Online prices and selection generally match our retail stores, but may vary. Prices and offers are subject to change. © 2003-2004 Best Buy. All rights reserved. For personal, noncommercial use only.

Valentine Gift, Christmas Gifts,

Holiday Gift Ideas, Unique Holiday Gifts, Valentine Gift, Christmas Gifts, Easter Gifts, Family Gift Plush Huggables Bed Time Buddies Bears with Blankies Canine Chums Feline Friends Animal Madness Back Packer Zoo Pet Pals Outfits Accessories World Wide Shipping Click for Details Free Shipping for Purchases over $40.00 and for Military Orders 1-Great Gifts 10-Animals 11-Outfits 12-Romantic 13-Cat Gifts 14-Valentines 15-Chinese 2-Pet Lovers 3-For Mom 3-Occasions 4-Easter 5-St Patrick 6-Wild Ones 7- Halloween 8-Baby Gifts 9-Birthdays Support Center Affiliate Opportunities Contact Us ..... Link to Us Gift Occasions: - Baby Shower Gifts - Birthday Gift Ideas - Easter Gifts - Family Gifts - Fathers Day Gifts - Gag Gifts - Get Well Gifts - Graduation Gifts - Holiday Gifts - Long Distance Gifts - Mothers Day Gifts - Pet Gifts - Romantic Gifts - St Patricks Day Gifts - Teacher Gifts - Teddy Bear Gifts - Thank You Gifts - Valentines Day Gifts - Stuffed Animal Gifts Teddy Bear, Birthday, Get Well, Mothers Day Gifts Mom, Valentines Gift Ideas Free Ecards -- Holiday Gift Ideas, Unique Holiday Gifts, Valentine Gift, Christmas Gifts, Easter Gifts, Family Gift and more Muskie 13" Moose Regular Price: $39.95 Sale Price: $34.95 Love 13" Bunny Regular Price: $37.95 Sale Price: $34.95 Lucky 13" Lamb Regular Price: $47.95 Sale Price: $42.95 Talking Stuffed Animals are perfect Holiday Gifts The perfect gift for any holiday. Send a talking stuffed animal to express the way you feel. Hearing your Voice is a wonderful greeting. Imagine their surprise when they squeezes your huggable gift and hears the Sound of Your Voice. 150 Huggable Stuffed Animals and Costumes We have over 1 50 different animals to choose from. We've got a menagerie of stuffed critters so that you can select the one that means the most to the person you want to connect with. We have re-recordable animal for wild life lovers, dog lovers, cat lovers. We also have re-recordable gifts for your pets. Give your favorate pet the sound of your voice. Now you can always be there with them. Recording your Personal Message Each of our gifts includes a 10-Second Re-Recordable Sound Unit . If you are sending your huggable critter directly to someone, add a voice recording . We will send you an 800 number to call to record your message. If you plan to personally give your present to someone, then it's not necessary to order a recording. The Difference is in Our Presentation Our Teddy Bears and other Stuffed Animals are designed and sized for huggability. As thoughtful as flowers, but more durable, a Teddy Bear Gift with a personalized Gift Card will express your feelings to a loved one in a very special way. We will place your voice recording inside your cuddly messenger and wrap it in a very attractive wrapping with instructions to the recipient to Squeeze Me, I have a Special Message just for you . Hear what our Customers are saying... "I just got the stuffed animal that I ordered to give as a gift to my co-worker who is going to be moving a few states away at the end of this month. She is truely special to me so I wanted to get her a nice personalized gift that she would treasure. Well I can't believe how beautiful the gift was and how easy it was to record the sound byte. The sound quality of the playback blew me away. I was suprised at its accuracy and clarity. I thought the price was a little high when I first saw it on the website, I mean they weren't brand name toys after all but now that I have seen and heard it I think the "price is right". The photo of the stuffed toy on the website didn't do the real thing any justice I thought. I got the moose, " Muskie " for my friend. It came in only 3 days. He is soooo soft and bigger than I thought he would be. It says he's 13" but he seems much larger because of his antlers I think. I can't wait to tell my family & friends about your service and selection. What a great gift idea and it's sooo easy for anyone to do, you offer so many options for recording. I myself recorded my own sound byte at home with the help of my PC. By the way, it would be nice to have maybe a dolphin or horse toy since there are many dolphin and horse lovers out there. I know a few of them myself. Anyway, keep up the good work, I am glad I found you. I can't wait to see the look on my friend/co-worker's face when she sees and hears this little guy. Thank you sooo much! " Patricia Our Mission | Business Opportunity | Contact Us | Link to Us | Links | Free Greeting Cards | Site Map "The Internet's Best Recordable Talking Plush Stuffed Animal Gift Site" Unique Personalized Teddy Bear Gifts and Gift Ideas for Mom, Mother, Dad and Grandmother. Teddy Bears are perfect as Birthday Gifts, Get Well Gifts, Mothers Day Gifts and Romantic Valentines Day Gifts & Gift Ideas . Every Recordable Stuffed Animal gift includes a free personalized card and gift wrapping. It's a worderful personalized gift idea and a creative alternative to sending flowers! Try our Free Greeting Cards and read our Free Stories . We also have Gift Certificates . © 2001-2003, ConnectionChannel.com. All rights reserved. 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