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Question

# A dice is rolled and the outcomes are observed. Event A is an even number turns up and event B is a prime number turns up. Match the events on left with the outcomes on right. 1.Event A or BP.{4, 6}2.Event A and BQ.{2}3.Event A but not BR.{2,3,4,5,6,}4.Complementary event of BS.{1,4,6}

A

1 - R, 2 - Q, 3 - S, 4 - P

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B

1 - Q, 2 - R, 3 - P, 4 - S

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C

1 - R, 2 - Q, 3 - P, 4 - S

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D

1 - R, 2 - S, 3 - Q, 4 - P

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Solution

## The correct option is C 1 - R, 2 - Q, 3 - P, 4 - S Sample space associated with throwing a dice is = {1, 2, 3, 4, 5, 6} A: An even number turns up = {2, 4,6} B: A prime number turns up = {2, 3, 5} 1)Event A or B ≡A∪B = {2, 3, 4, 5, 6} 2)Event A and B ≡A∩B = {2} 3)Event A but not B≡A−B = set of elements in A which are not in B = {4, 6} 4)Complementary event of B = B` = {1, 4, 6}

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