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/

Buy Gift Card and

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Housewarming Gift Idea A

Housewarming Gift Idea - Housewarming Gift Basket Housewarming Gift Idea - Housewarming Gift Basket Housewarming Gift Idea A Housewarming Gift Idea from Harry and David can bring a smile to the face of any new homeowner. Look no further for the perfect housewarming gif idea. Housewarming Gift Basket Our 9 star All Occasion Housewarming Gift Basket is our biggest occasion gift basket. This delightful housewarming gift basket contains fruits, nuts, candy and more. Next time you have to choose a housewarming gift idea choose the perfect housewarming gift basket from Harry and David. OCCASIONS Last Minute Gifts All Occasion Gifts Americana Anniversary Back to Campus Birthday Congratulations Get Well Housewarming New Baby Sympathy Thank You Thinking of You Wedding Gifts Halloween Thanksgiving Christmas Hanukkah New Year's Holiday Early Bird Sale You are here: Occasions > Housewarming Celebration Basket Gourmet fare for a small family or office: Big impression on a smaller scale. Inside these pristine white baskets they'll find Royal Riviera Pears, Crisp Mountain Apples, Wild Alaskan Smoked Salmon, Summer Sausage, Cheddar and Jack Cheeses, Chewy Fruit Candy, Lemon Cake, Lemon Shortbread Cookies, Fruit Preserves and Honey Roasted Nuts. Net wt. 4 lbs. Available to ship year round. Choose One: Celebration Basket Item No. 13334Z $ 69.95 Deluxe Celebration Basket ( details ) Five extra pounds of incredible gourmet food. Item No. 606Z $ 99.95 Sign in to access your address book Send To: Recipient List Me Or: Add New Name Need Help? We'll ask for shipping info at checkout Our Guarantee : You must be delighted, or we'll make it right. Subscribe to receive special updates and exclusive offers. Services: Register Now | Customer Service | Gift Services | Gift Card | Catalog Quick Order | Same Day Delivery Gift Finder | My Giftlist™ | Order History | Catalog Request | International APO/FPO Information: Homepage | Harvest Report | Privacy Policy | Browser Requirements | Site Map | About Us Order toll free anytime 1-877-322-1200 © 2005, Harry and David. All Rights Reserved. Harry and David is a registered trademark. [3]

Jewelry Gift Ideas Jewelry

Beaded Jewelry Gifts - FindGift.com Personalize FindGift.com! -- Login | Sign Up | List of Services Gift Ideas Gift Registry Gift Shops Gift Bookmarks Home | Help keyword search Gift Giving Made Easy! A free service dedicated to helping you find creative gift ideas! Home Categories Jewelry Beaded Refine Search for Jewelry Gift Ideas Jewelry Children's Jewelry Jewelry Boxes Anklets Bracelets Earrings Lockets Necklaces Pendants & Charms Pins and Brooches Rings Watches Jewelry Ensembles Gold White Gold Silver Gemstone Jewelry Beaded Jewelry Exotic Personalized Trendy Unique Any Price $0 - $10 $11 - $25 $26 - $50 $51 - $100 $101 - $200 $200+ Related Links Monthly Birthstone Table Use our Gift Wizard to customize your gift search Use our Gift Finder to find gift ideas customized to the likes/dislikes of the recipient. Gem and Jewelry from $1 Looking for gem and jewelry? 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We donate $5 to The National Breast Cancer Coalition with each bracelet sold. Enter Promo Code "freeship" in shopping cart for up to $10 in free shipping when the total order is $49 or more. Questions? Contact EverAfterStore.com . Add to Gift Bookmarks Add to Registry [ More Gifts from this store ] [ People Who Liked This Gift Also Liked ] [ Report Error ] Messages of Love Remembrance Bracelet from Abernook ($65.00) Help a loved one through a difficult time. The Memories of Love Remembrance Bracelet comes with a special poem and comfort charm. Coupon Code: FG-M10 for 10% off select Messages of Love Jewelry for Findgift customers now through 9/26. Questions? Contact Abernook . Add to Gift Bookmarks Add to Registry [ More Gifts from this store ] [ People Who Liked This Gift Also Liked ] [ Report Error ] A Special Nurse Bracelet mol from Abernook ($48.00) Honor a nurse by gifting her with this special bracelet made in her honor. Each bracelet is hand-crafted. 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We donate $5 to Safe, Inc., a domestic violence shelter, for each sold. A tribute and thank you to FlyLady. Enter Promo Code "freeship" in shopping cart for up to $10 in free shipping when the total order is $49 or more. Questions? Contact EverAfterStore.com . Add to Gift Bookmarks Add to Registry [ More Gifts from this store ] [ People Who Liked This Gift Also Liked ] [ Report Error ] Misses' Luv Bracelet from Soft Surroundings ($64.50) The very best gifts come from the heart. Each bracelet is custom designed and personalized in 6mm sterling silver letter blocks. Adjusts from 7-1/2" - 8-1/2". Shipped from Jeweler allow two weeks for delivery. Give a $50 or $100 Soft Surroundings Gift Certificate & save 10%! No shipping is charged for Gift Certificates. Questions? Contact Soft Surroundings . Add to Gift Bookmarks Add to Registry [ More Gifts from this store ] [ People Who Liked This Gift Also Liked ] [ Report Error ] Breast Cancer Awareness Bracelet from Abernook ($65.00) The Breast Cancer Awareness Bracelet is designed using sterling silver pieces, pearls and Swarovski crystals in the Breast Cancer color of pink. The Bracelet is secured with a toggle clasp and includes a breast cancer charm. Coupon Code: FG-M10 for 10% off select Messages of Love Jewelry for Findgift customers now through 9/26. Questions? Contact Abernook . Add to Gift Bookmarks Add to Registry [ More Gifts from this store ] [ People Who Liked This Gift Also Liked ] [ Report Error ] Page: 1 | 2 | 3 | 4 | 5 | viewing 1 - 10 of 126 gift ideas found Bosses Day Oct 16, 2005 24 Shopping Days Left Bosses Day Gift Ideas Sweetest Day Oct 15 Halloween Oct 31 More Holidays Seasonal Gifts Wedding Gift Ideas Anniversary Gift Ideas Autumn Theme See this month's Top 20 Gift Ideas Gift Helpers » Anniversary Gifts » Flower Meanings » Monthly Flowers » Monthly Birthstones » Signs of the Zodiac » Additional Resources FindGift.com Newsletter Sign up to receive seasonal and unique gift ideas via email. Email Address Merchant Login | Add Your Products to FindGift.com | Press Room | FAQs | Contact FindGift.com Conditions of Use | Privacy Policy | Site Map © 1997-2005, Registry Online, Inc. FindGift.com and its logo are trademarks of Registry Online, Inc.

Great Gifts Inc. Announce

Great Gifts Recall of Snowmen Holiday Lamps NEWS from CPSC U.S. Consumer Product Safety Commission Office of Information and Public Affairs Washington, DC 20207 FOR IMMEDIATE RELEASE May 19, 2004 Release # 04-140 Firms Hotline: (800) 611-0651 CPSC Consumer Hotline: (800) 638-2772 CPSC Media Contact: (301) 504-7908 CPSC, Great Gifts Inc. Announce Recall of Snowmen Holiday Lamps WASHINGTON, D.C. - The U.S. Consumer Product Safety Commission announces the following recall in voluntary cooperation with the firm below. Consumers should stop using recalled products immediately unless otherwise instructed. Name of product: Snowmen Holiday Lamps Units: 1,900 Importer: Great Gifts Inc., McKeesport, Pa. Hazard: These electric holiday lamps have undersized wiring, no strain relief on the electric cords, and the molded plastic enclosure is flammable. The lamps pose fire and electrocution hazards. Incidents/Injuries: None reported. Description: There are three styles of snowmen lamps included in the recall. The Turbo 1541 model is a train with a snowman and light with Joyful written on the top. The model 1536A consists of three snowmen with a light in a campfire. Model 1628 is three snowmen with a choir book and light. Each holiday light has the model number listed on its base with the label Made in China for Great Gifts McKeesport PA 15132. Sold at: Small gift stores nationwide from October 2003 through December 2003 for about $10. Manufactured in: U.S.A. and China Remedy: Stop using these lamps, and contact the firm to get information on returning them and receiving a refund. Consumer Contact: Call Great Gifts Inc. toll-free at (800) 611-0651 between 9 a.m. and 5 p.m. ET Monday through Friday. Media Contact: Marian Basa at (412) 672-2300.