Transcription of Math 3C Homework 3 Solutions - UCLA
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Math 3C Homework 3 Solutions - UCLA
math 3C Homework 3 SolutionsIlhwan Jo and Akemi Problems 2, 7, 8, 9, 11, 13, 15, 18, 21, 22, 29, 31, draw three cards from a standard deck of 52 cards. Find the probability that the third card is a clubgiven that the first two cards were the event that the third card is a club and letBthe event that the first two cards were the probability that all three cards are clubs isP(A B) =(133)(523),and the probability of the first two cards being clubs isP(B) =(132)(522).So the conditional probability that the third card is a club given that the first two were clubs isP(A|B) =P(A B)P(B)=(133)(523)(132)(522)= way of doing this problem is noticing that the probability of the first card being a club is1352andthe probability of the second card being a club is1251.
8. You roll two fair dice. Find the probability that the flrst die is a 5 given that the minimum of the two numbers is 3. Solution Let A denote the event that the flrst die shows 5 and B denote the event that the minimum of both dice is 3. If the minimum of both dice is 3, then at least one of the two dice must be 3 and both must be
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