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Statement -1 : If A,B,C are three events...

Statement -1 : If A,B,C are three events such that `P(A)=(2)/(3),P(B)=(1)/(4) and P( C) =(1)/(6)` then, A,B,C are mutually exclusive events.
Statement-2 : if `P(A cup B cup C) = Sigma P(A)`, then A,B,C are mutually exclusive.

A

Statement -1 is True , Statement -2 is True, Statement-2 is a correct explanation for Statement -1

B

Statement -1 is True , Statement -2 is True, Statement-2 is NOT a correct explanation for statement-1.

C

Statement -1 is True, Statement-2 is False.

D

Statement -1 is False , Statement -2 is True.

Text Solution

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The correct Answer is:
D
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FIITJEE-PROBABILITY-ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-I
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  2. Two numbers are selected randomly from the set S={1,2,3,4,5,6} without...

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  5. Three identical dice are rolled once. The probability that the same nu...

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  13. A positive integer 'n' not exceeding 100, is chosen in such a way that...

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  14. Two boxes containing 20 balls each, and each balls is either black or ...

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  15. Four identical oranges and six distinct apples (each a different varie...

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  16. Four identical dice are rolled once. The probability that atleast diff...

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  17. Three numbers are selected from the set {1, 2, 3, ..., 23, 24}, withou...

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  19. If A and B are two events such P(A)=1/2 and P(B)=2/3 then:

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  20. Statement -1 : If A,B,C are three events such that P(A)=(2)/(3),P(B)=(...

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