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Find the probability of of guessing the top 3 winners from a group of 16 finalists?
Wiki User
∙ 14y ago
The number of combinations from 16 finalists drawn 3 at a time is16C3, which is 560. Since only 1 of the three groups of 560 contains the winners, the probability of guessing the top 3 winners is 1/560 or 0.001786.
Wiki User
∙ 14y ago
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What is the probability of 2 or more people in a a group of about 30 having the same birthday?
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The probability of at least 1 match is equivalent to 1 minus the probability of there being no matches. The first person's birthday can fall on any day without a match, so the probability of no matches in a group of 1 is 365/365 = 1. The second person's birthday must also fall on a free day, the probability of which is 364/365 The probability of the third person also falling on a free day is 363/365, which we must multiply by the probability of the second person's birthday being free as this must also happen. So for a group of 3 the probability of no clashes is (363*364)/(365*365). Continuing this way, the probability of no matches in a group of 41 is (365*364*363*...326*325)/36541 This can also be written 365!/(324!*36541) Which comes to 0.09685... Therefore the probability of at least one match is 1 - 0.09685 = 0.9032 So the probability of at least one match is roughly 90%
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What is the probability that at least 2 people have the same birth month in a group of 8 people?
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What is the probability of 2 or more people in a a group of about 30 having the same birthday?
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