You roll one blue 6-sided die, and one red 4-sided die. Let A be the event...

You roll one blue 6-sided die, and one red 4-sided die. Let A be the event that the outcome of the red die is twice the outcome on the blue die Let B be the event that the outcome of the blue die is greater than the outcome on the red die Let C be the event that the sum of the two dice is a prime number. a) Find P(B) and P(C) by clearly listing all outcomes in B and C. b) Are the events A and C C mutually exclusive? Clearly justify your answer. c) You throw the pair of dice until event B occurs. What is the expected number of throws it takes for B to occur for the first time? (You may use any known distribution results and any results from a-c, clearly identify distribution)

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orchestra answered 1 year ago

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