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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.
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Soluion: Paqe No Sappose tuoo dice ore rolled Sample space (s)ニ a)Probability that maximum of tcoum less than or equal to 2 (2/2) 4 3 6 b) Probabi lity that maximum oF unumber rolled is less than or equal to 3 4i 0.25 c) The probability hat maxium f too number rolledl exadhy equal to 3 6 1.0833d) 4eNo 2 5Noo, oe oreen andr each number From to 6 3 6 0-15 2 6 二0.4444page 3 ナPIL/5) T P 315 P4l) - + Pls,5) 25 3 2S 3 6 5一 36 ナ ?(4.6) 36 2 6

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