For each problem, give the cardinality of the sample space, the cardinality of t

Question

For each problem, give the cardinality of the sample space, the cardinality of the event, and the probability of the event (given to 5 significant digits) Let S represent the sample space and A represent the event (1X2 pts) Two 6-sided dice are rolled. Find the probability of getting a sum that is seven or eleven. 12- P(A) = Find the probability of getting numbers exactly three apart (for example, a two and a five). P(A) (2X3 pts) There are twelve dozen eggs in a crate and there are eight rotten ones. If you buy a dozen eggs from the crate, what is the probability that you get no rotten ones? ISI = PlA)- If you buy a dozen eggs from the crate, what is the probability that you get no more than two rotten ones? IAl P(A) = If you buy a dozen eggs from the crate, what is the probability that you get all eight rotten ones? Isi = P(A) =

Explanation / Answer

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1.

Part 1)

|S| = 6*6 = 36

|A| = 7 - {4,3},{3,4},{6,1},{1,6},{5,2},{5,2}, 11 - {5,6},{6,5} = 8

So, P(A) = 8/36 = 2/9 = .22222

Part 2)

2. |A| = {1,4}*2, {2,5}*2,{3,6} = 6

|S| = 36

P(A) = 6/36 = 1/6 = .16667

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