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Question

A die 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 die s = {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 AB
= {2, 3, 4, 5, 6}


2)Event A and B AB
= {2}


3)Event A but not BAB
= 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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