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Question

A die is rolled twice. Let us define the following events
A: "Getting doublets"
B: "Getting a total of at least 11"
How many outcomes are common between A and B?

A
One
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B
Two
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C
Three
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D
Four
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Solution

The correct option is A One
Sample space of A and B are
A = {(1, 1), (2, 2), (3, 3), (4, 4), (5, 5) (6, 6)} and
B = {(5, 6),(6, 6),(6, 5)}
Clearly, the number of common outcomes = 1, i.e., (6, 6).

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