When one die is rolled, the following six outcomes are possible. a. What outcome

Question

When one die is rolled, the following six outcomes are possible. a. What outcomes constitute event (not A)? (Use a comma to separate answers as needed. Use ascending order.) b. What outcomes constitute event (A & B)? A event the die comes up even B event the die comes up 5 or more C event the die comes up at most 2 (Use a comma to separate answers as needed. Use ascending order.) c. What outcomes constitute event (B or C)? List the outcomes that constitute each of the following events. (Use a comma to separate answers as needed. Use ascending order.) a. (not A) b. (A & B) c. (B or C)

Explanation / Answer

Given that,

A = event the die comes up even

B = event the die comes up 5 or more

C = event the die comes up at most 2

Total outcomes (sample space ) = S ={1, 2, 3, 4, 5, 6}

Thereofore outcomes for the given events are as follows,

A = { 2, 4, 6}

B = { 5, 6}

C = {1, 2}

Hence, outcomes for the following events are as follows,

a) (not A) = { 1, 3, 5}

b) ( A & B) = { 6 }

c ) ( B or C) = { 1, 2, 5, 6}

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