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Paul will roll two standard dice simultaneously. If Event A = both dice are odd and Event B = at least one die is even, which ofthe following best describes events A and B?Select two answers.

Paul will roll two standard dice simultaneously If Event A both dice are odd and Event B at least one die is even which ofthe following best describes events A class=

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Solution

For this case the sample space is given by:

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,1) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

The events for A are:

(1,1) (3,3) (5,5)

And the events for B are:

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6) (2,1) (2,3) (2,5) (3,1) (3,2) (3,3) (3,4) (3,5) (3,6) (4,3) (4,5) (5,1) (5.2) (5,3) (5,4) (5,5) (5,6) (6,1) (6,3) (6,5)

Then we can conclude that the answer is:

Not Mutually exclusive

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