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Teacher Gifts - Retirement, Goodbye, Thank You, Teacher Appreciation gifts for Teachers Needteaching resources and access to more than 900 Education Web Sites? Click Here E-Z Grader Company Products for teachers and students - Check out the Scooby-Doo Math Fact Finders Excellent quality, easier than flash cards...and fun! Personally Yours Made to order Teacher Shirts with personalized embroidery available! Great designs. Unique Classroom Ideas! Clipart, posters, shirts, certificates and more. Paramount Promotions Teacher golf shirts with great "teacher" embroidered logos. Trophies, plaques & awards for Teacher Appreciation. For the teacher who wants a little music in the classroom! Coed Sportswear Lifestyle statement imprinted apparel. Two great teacher t-shirt designs. Check the whole Coed Sportswear line! Help Me 2 Learn Outstanding educational software - Phonics, Letters, Numbers and more - Demos Available Tree House Press Publisher of supplementary resources, novel study guides, reading and writing workbooks. Excellent materials. Trice Pens Unique, handcrafted pens Personalized for "That Special Teacher" - Contact Tom Trice "Whatdidyoubringme!?" Natural history t-shirt designs, plus ties, books and other gifts. Great designs. Colleague Retirement? No time to prepare a tribute? Teacher Poems are our specialty - teacher humor always included at no charge! Read what people are saying... www.poems4teachers.com Personalized Poems make perfect "teacher gifts", an ideal way to say goodbye to a colleague who is leaving or retiring ~ truly a gift to be treasured. Say goodbye with "class" and a bit of teacher humor! Order Now - it's that time!...Expedited Service Available... More Personalized Teacher Tribute Poems from students, parents or school groups... Our Personalized Poems are uniquely creative Teacher Gifts Ideal for that "special teacher" ... When you want to say ... Goodbye at the End of the Year, Thank You, Happy Retirement, Sorry You're Leaving, You're a Great Teacher, Happy Summer... or for Teacher Appreciation Our Poems are uniquely creative - 100% personalized... Our personalized poems can be framed as commemorative gifts More www.poems4teachers.com Hawaiian Shirts & Aloha Shirts for the Hawaiian at heart. Bowling Shirts with a Vintage, Retro Twist. Large selection of Tropical styles and attire - Plus Sizes and more. Make great gifts for teachers for Spring Break, Summer Vacation, or just for fun! I own 2 shirts - excellent quality, vibrant colors - fast delivery. Buy from a teacher-owned store. ChalkTalk Online.com - A great selection of gifts for teachers including videos, t-shirts, sweatshirts, mugs, tote bags. Excellent quality, fast delivery. Gift certificates. GREAT retirement t-shirts. I have 4 of them! Mike's Personalized T-Shirts - Reasonably-priced t-shirts and sweatshirts for the teacher on your list. Excellent teacher gifts... high quality designs on the shirts...great value. CSP Teaching Supplies - Great selection of Educational Resources including books, bulletin boards, stickers and rewards. Family-owned business. Our Personalized Poems make Great Gifts for All Occasions... combining humor and serious sentiment 100% Personalized Poems ... guaranteed to make you laugh and cry... Personalized Poems for All Occasions @ Personalized-Poems.com Pins, ties, scarves, Italian charms, lanyards and teacher jewelry... Online Special Discount Pricing up to 25% Great Teacher Gifts! Great gifts for teachers. Excellent quality denim shirts with embroidered "teacher logos". Owned by retired teacher Linda Vollmer. Judy Domeny Bowen has captured the essence of teaching. A fabulously funny CD - great teacher gift. Order from Judy. Cabam Recognition and appreciation gifts for volunteers and educators. Great selection. Canadian Site MAKE FUN of Learning See the G.R.O.W. books... Educational resources, workshops and more... Love4Teachers.com Your one-stop-shop for great teacher gifts! Artist at Work teacher t-shirts, mugs, posters... Contact Lorilei Edutunes - Music-based Math, Phonics and Science learning tools - making learning easier and fun for children. Order from Jennifer Fixman , creator of Edutunes. A must-have resource! Personalized Plus Personalized items including a great "Teacher Cardigan" with the teacher's name! Visit our other Sites: Personalized Poems and Poems 4 Teachers Looking for teaching resources? ClickHere Home I Poems 4 Teachers I MoreResources I ContactUs I OurResources I Our E-Resources I PersonalizedPoems I KidTunes 2000 O'Flynn Consulting - Barrie, Ontario, Canada ~ Information ~ e-mail: info@songs4teachers.com
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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/
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Sentimental 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. Sentimental Gifts For Men Articles Frugal Gifts for Men Do you find it hard to come up with frugal gifts for men? Try these ideas....( Continue Reading ) Frugal Gifts for Men Do you find it hard to come up with frugal gifts for men? Try these ideas....( Continue Reading ) Top 10 Graduation Gifts Graduation from high school is a happy occasion for parents and children. It's a right of passage which deserves to be marked with gifts of dignity and lasting sentiment. Here are my suggestions....( Continue Reading ) Consumer Spending Projections for Mothers Day Consumers plan to spend an average of $97 per household on Mother's Day gifts this year, a 36 percent increase over the 2001 average of $62, according to the National Retail Federation....( Continue Reading ) Valentine Gifts for Her Valentine gifts for a woman....( Continue Reading ) Sentimental Gifts For Men Directory Links crafts christmas gifts the gifts of the spirit christmas gifts for wives boy scout gifts unique musical gifts potpourri gifts gourmet baskets gifts for grandmother catholic first communion gifts 90th birthday gifts wine of the month gifts charleston gift baskets cookie jar gifts unique wedding gifts ideas cat gifts harry and david gift baskets handmade wedding gifts liquor gift baskets send gifts to india personalized birthday gifts gifts com online baby gifts gift baskets in boston flowers and gifts by steve traditional housewarming gifts laser engraved gifts spencer gifts stores gifts same day delivery christian christmas gifts toronto gift baskets gifts for your girlfriend anniversary gifts ideas pet gift baskets fishing gag gifts unique unusual gifts 7 gifts of the holy spirit 10 year wedding anniversary gifts 40th wedding anniversary gifts gifts for wine lovers christmas gifts for teachers gifts bridal shower first anniversary gifts homeade christmas gifts gift baskets michigan promotion 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