only part d (3) A fair die. Roll a fair six-sided die 4 times. (a) Calculate the

Question

only part d

(3) A fair die. Roll a fair six-sided die 4 times. (a) Calculate the probability that all 4 rolls have the same outcome. (b) Let A be the event that the first two rolls have the same outcome, and B denote the event that the second and third rolls have the same outcome. Calculate P(A) and P(B). (c) Calculate P(AnB), and determine whether or not events A and B are independent (d) Let C denote the event that the third and fourth rolls have the same outcome. Deter mine whether or not A, B, and C are mutually independent.

Explanation / Answer

D) no, they are not mutually exclusive events. Because event A and B and C means all the outcomes are same. So, P(A and B and C) can not be equal to 0. It will be = (1/6)4.

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