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Statement-1 : If (1)/(5)(1+5p),(1)/(3)(1...

Statement-1 : If `(1)/(5)(1+5p),(1)/(3)(1+2p),(1)/(3)(1-p) " and " (1)/(5)(1-3p)` are probabilities of four mutually exclusive events, then p can take infinite number of values.
Statement-2 : If A, B, C and D are four mutually exclusive events, then
`P(A), P(B), P(C ), P(D) ge 0`
and `P(A)+P(B)+P(C )+P(D) le 1`

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:
A
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OBJECTIVE RD SHARMA-PROBABILITY -Section II - Assertion Reason Type
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  3. Let m in N and suppose three numbers are chosen at random from the num...

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  4. A set P contains n elements. Two subsets A and B of P are chosen indep...

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  5. Let A and B be two events such that P(A) gt 0. Statement-1 : If P(A)...

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  6. Let A, B and C be three events associated to a random experiment. St...

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  7. An urn contains m white and n black balls. A ball is drawn at random ...

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  10. Aa n dB toss a fair coin each simultaneously 50 times. The probability...

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  14. Probability that a student will succeed in I.I.T. Entrance test is 0.2...

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  15. A speaks the truth 4 out of 5 times. He throws a die and reports that ...

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  19. A bag contains 5 balls. Two balls are drawn and are found to be white....

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  20. A pack of playing cards was found to contain only 51 cards. If the fir...

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