Question

when one die is rolled, six outcomes are possible. these outcomes are those where the die shows each value between 1 and 6. complete parts (a) through (d). a = event the die comes up even b = event the die comes up 3 or more c = event the die comes up at most 3 d = event the die comes up 6 a. are events a and b mutually exclusive? a. yes. these events do not share any common outcomes. b. yes. at least the outcome where the die comes up 6 is common for these events. c. no. these events do not share any common outcomes. d. no. at least the outcome where the die comes up 6 is common for these events.

Explanation:

Step1: Define event A and B

A = {2, 4, 6}, B = {3, 4, 5, 6}

Step2: Check for common outcomes

The common outcomes of A and B are {4, 6}. Since there are common outcomes, A and B are not mutually - exclusive.

Answer:

D. No. At least the outcome where the die comes up 6 is common for these events.