1. Bob, Jason, Alex, and Lauren play one round of rock paper scissors (R-P-S). How many...

1. Bob, Jason, Alex, and Lauren play one round of rock paper scissors (R-P-S). How many outcomes are in the samples space if all players are DISTINCT and how many elements of the sample space correspond to:

Getting PPPP, getting SRSS, getting PRPR, and PPSR note: order doesn't matter

2. Consider two equally likely events A and B. Probability both occur is .2, and the probability that neither occurs is .3, find probability of event A occurring. P(A)?

3. Prove Bonferroni's inequality: for any two events A1 and A2

P(A1 n A2) >= P(A1) +P(A2) - 1

4. For P(A) = 2/3 and P(B) = 3/5, what are the allowable values for P(A n B)?

Solutions

Expert Solution

Probability Theory

orchestra answered 1 year ago

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