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).