Verify the probabilities for seven card stud. Hint: For full house you need to consider handpatterns: 3-3-1 and 3-2-2 in addition to the more likely 3-2-1-1. For two pair you also haveto consider the possibility of three pair.DenominatorC52,7= 133,784,560 (a) Pick the value for the four of a kind and then pickany other three cards 13
(b) There are three hand patterns.
82. Ten people call an electrician and ask him to come to their houses on randomly chosendays of the work week (Monday through Friday). What is the probability ofA= “he has atleast one day with no jobs”?LetAi= “he has no jobs on the i-th day of the week.”P(∪5i=1Ai) = 5·4510-C5,2·3510+C5,3·2510-C5,4·1510
86. Use the first two Bonferroni inequalities to compute an upper and a lower bound on theprobability that in a group of 60 people, at least 3 were born on the same day.
88. Suppose we try 20 times for an event with probability 0.01. Use the first three Bonferroniinequalities to compute bounds on the probability of one success.
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- Spring '13
- Mattingly
- Probability, Probability theory, Dice