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both 7 and 8
7. Suppose two dice are rolled. Find the probabilities of the following events a) the maximum of the two numbers rolled is less than or equal to 2; b) the maximum of the two numbers rolled is less than or equal to 3; c) the maximum of the two numbers rolled is exactly equal to 3 d) Repeat b) and c) for r instead of 3, for each z from 1 to 6. e) Denote by P(x) the probability that the maximum number is exactly r. What should P(1) + P(2) answers to d). P(3) + P(4) + P(5) + P(6) equal? Check this for your 8. Repeat Exercise 7 for two rolls of a fair n-sided die for an arbitrary n instead of 6.
7. Suppose two dice are rolled. Find the probabilities of the following events a) the maximum of the two numbers rolled is less than or equal to 2; b) the maximum of the two numbers rolled is less than or equal to 3; c) the maximum of the two numbers rolled is exactly equal to 3 d) Repeat b) and c) for r instead of 3, for each z from 1 to 6. e) Denote by P(x) the probability that the maximum number is exactly r. What should P(1) + P(2) answers to d). P(3) + P(4) + P(5) + P(6) equal? Check this for your 8. Repeat Exercise 7 for two rolls of a fair n-sided die for an arbitrary n instead of 6.
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