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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/



Gifts for Women Give

Every Day : Fine Living Selects : E-Gifts for Women : Fine Living « Home | Adventure | Every Day | Personal Space | Transport | Favorite Things | Practical Living -- -- -- Message Board Meet and greet, share advice, get great tips and info on fine foods, products, places, etc. Get FINE LIVING today On TELEVISION • What's On Now? • Monthly Guide • A to Z Show List • Specials Online Special Features Message Boards Inside FINE LIVING: Wine, Cocktails and Travel Picks E-Gifts for Women Give her a gift certifcate she can use online. She'll love shopping in her PJs at midnight! Hip, Hip, Humane With an online donation of any amount, they'll send a personalized greeting card in honor of your donation. Your contribution helps the Humane Society of the UInited States promote the protection of all animals. from $10 Any animal lover will be happy! http://www.hsus.org Green Feet Gift Certificate This terrific little company believes in leaving "smaller," greener environmental footprints. Specializing in high quality, natural products. Unique items made from recycled materials such as a clock made from a bicycle cog, pure and natural candles, hemp bags, recycled glass dinnerware and more! from $10 Planet friendly presents www.greenfeet.com Bath by Bettijo Gift Certificate Let her choose from handmade natural bath and body products. Made from ingredients like mango butter, sea salt, sweet almond oil. Vast selection of body scrubs, lip treats, moisturizers, soaps and more. from $15 Perfect for those who love spa-like pampering at home www.bathbybettijo.com How we make our selections Home | About Us | Questions | Advertising | Site Map | Privacy | Legal DIY | Food Network | HGTV | Shop At Home | Great American Country | HGTVPro | Living | Video On Demand Comparison Shop for Home Gifts & Patio Furniture at Shopzilla © 2005 Scripps Networks, Inc. All rights reserved.



Birthday Gift Idea A

Birthday Gift Idea - Gift Boxes - Chocolate Gift - Birthday Baskets - Harry and David Birthday Gift Idea - Gift Boxes - Chocolate Gift - Birthday Baskets Birthday Gift Idea A Birthday Gift Idea is a hard thing to come by these days. Why not look to Harry and David for your next Birthday Gift Idea. Or, if you are unsure of the right Birthday Gift Idea, why not give them a Online Gift Certificate or one of our Gift Cards so they can choose their own gift. The next great Birthday Gift Idea is no further than HarryandDavid.com. Chocolate Gift A Chocolate Gift that is truly unique is very hard to find. So, why not leave it to the pros at Harry and David to help you choose a Chocolate Gift that will bring a smile to their face and put some yummy in their tummy. We even offer a wide variety of Gift Ideas for those on a Low Fat, Sugar Free Treats or Special Needs diet. No what the recipient likes, we have a Unique Birthday Gift that will suit their tastes. Birthday Baskets Birthday Gift Towers from Harry and David are another great treat for birthdays. Our wide selection of chocolate, tropical fruit and gourmet foods can all be found in our Birthday Gift Towers. So, don't wait another minute, Get your Gift Shopping done online and start with Birthday Gift Towers from Harry and David. ?", "?",myFile)-- GIFT TOWERS AND BOXES The Original Tower of Treats Deluxe Gift Towers Chocolate Gift Towers Snack Gift Towers Healthy Gift Boxes Banquet Gift Boxes Party Drums Birthday Gift Towers Treats for Kids Holiday Gift Towers View All If they like opening one gift box ... they'll love opening a bunch of gift boxes! That's why our Gift Towers are America's best-loved holiday gift tradition. These gifts are a thoughtful and delicious way to help complete the ceremony of giving and delight your friends. We pack each colorful gift box with unparalleled pride and personal attention to detail, then stack them all and tie with a ribbon and bow. Guaranteed to arrive fresh and perfect … and make a wonderful impression. 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. [5]



Gifts For Men Articles

Cool Gifts For Men - Gifts BW gifts | gifts Resources | Add URL Wine Gifts & Baskets From the casual wine drinker to the serious enthusiast, we have a gift that will make them smile. Our selection includes premium wine, gourmet baskets, distinctive champagne sets & the very finest California and Northwest wines. Cool Gifts For Men Articles Gifts for Men - Get Him a Monocular Monoculars are very cool 'guy gifts'. Read the reviews of the top products chosen for special features, weight, size, superior quality, and good price....( Continue Reading ) Great Gifts for Men Buying gifts for guys is not all that easy, especially when it seems they have everything they need. Browse this list of top picks and see the gadgets, cool items, and useful items that could make great gifts. See Also:......( Continue Reading ) Great Gifts for Men - Top Ten Picks Buying gifts for guys is not all that easy, especially when it seems they have everything they need. Browse this list of top pick - Gifts for Men - and see the gadgets, cool items, and useful items that we selected....( Continue Reading ) Christmas Gift Guide: For Him under $100, Christmas Gifts for Men, Father, Dad, Brother, Boyfriend, Husband Christmas Gift Guide: For Him under $100...( Continue Reading ) Fashion gifts he'll actually like If the guy on your list doesn't know pashmina from polyester, spare him the fancy threads and chichi labels. Instead, go with cool apparel items that he'll actually like....( Continue Reading ) Cool Gifts For Men Directory Links fathers day gifts for kids to make gifts for cat lovers popcorn gifts wedding anniversaries traditional gifts practical baby gifts unique gifts for kids gifts for special occasions gifts kids make mothers day gifts to make the gifts of the spirit chocolate holiday gifts wholesale shower gifts valentines gifts men wedding gift baskets italian gift baskets gift baskets of texas gifts for 60th birthday gifts for easter baptismal gifts creative homemade gifts kids valentine gifts pictures of easter baskets gift food baskets gifts for bride gift baskets uk fantasy gifts mn great gifts for women gifts for a new dad unique gifts gift baskets holiday victorias house of gifts university of texas gifts baby girl gifts gifts for graduation baskets gifts angel gifts unique office gifts understanding spiritual gifts gift baskets for women personalized gifts traditional house warming gifts gift baskets of missouri bar mitzvah gifts valentines day gifts for him books make great christmas gifts Popular Search Terms: Gifts BW © 2004 Gifts BW All trademarks are the property of their respective owners. All Rights Reserved. This site is not related to Brajeshwar or Brajeshwar.com in anyway, shape or form




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