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Five people randomly choose a number between 1 and 10,inclusive. What is the pos

ID: 3090867 • Letter: F

Question

Five people randomly choose a number between 1 and 10,inclusive. What is the possibility , (rounded to the nearest10th), that at least 2 of them pick the same number. A. 0.5 B. 0.6 C. 0.7 D. 0.8 E.0.9 F. 1.0 Thanks sooo much for your help with this one!! Five people randomly choose a number between 1 and 10,inclusive. What is the possibility , (rounded to the nearest10th), that at least 2 of them pick the same number. A. 0.5 B. 0.6 C. 0.7 D. 0.8 E.0.9 F. 1.0 Thanks sooo much for your help with this one!!

Explanation / Answer

each persons choice is independent. after the person chooses one the second has 9/10 probability of not getting the same one f irstperson third has 8/10 probability of not getting the same one first person or second fourth has 7/10 probability of not getting the same onef irst person or second or third etc tenth has 1/10 probability of not getting the same one first person or second or...ninth The probability of all different is 9!/109 The probability of at least 2 pick same is 1-probabilityof all different ans= 1- .00036= 1 rounded to 10 The probability of at least 2 pick same is 1-probabilityof all different ans= 1- .00036= 1 rounded to 10