When one die is rolled, six outcomes are possible. These outcomes are those wher

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 4 or more C-event the die comes up at most 3 D = event the die comes up 1 a. Are events A and B mutually exclusive? O A. Yes. These events do not share any common outcomes. 0 B. No. These events do not share any common outcomes. O c. Yes. At least the outcome where the die comes up 6 is common for these events. O D. No. At least the outcome where the die comes up 6 is common for these events. b. Are events B and C mutually exclusive? O A. Yes. These events do not share any common outcomes. O B. Yes. At least the outcome where the die comes up 4 is common for these events. O c. No. At least the outcome where the die comes up 4 is common for these events. D. No. These events do not share any common outcomes. c. Are events A, C, and D mutually exclusive? Yes. At least the outcome where the die comes up 2 is common for A and C. No. At least the outcome where the die comes up 2 is common for A and C. o A. B. Click to select your answer.

Explanation / Answer

a)

A = event the die comes up even = ( 2,4,6)
B = event the die comes up 4 or more = (4 ,6)

P(A and B) = 0 shows mutually exclusive But here is common number for event A and B So, Events A and B are not mutually exclusive

Answer is option D)

b)

C = event the die comes up at most 3 = (1,2)
B = event the die comes up 4 or more = (4 ,6)

P(A and B) = 0 shows mutually exclusive But here is not common number for event B and C So, Events B and C are mutually exclusive

Answer is option A)

c)

A = event the die comes up even = ( 2,4,6)
C = event the die comes up at most 3 = (1,2)
D = event the die comes up 1
P(A and C) = 0 shows mutually exclusive But here is common number for event A and C So, Events A and C are not mutually exclusive

Answer is option A)

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