If 1 + 4p4, 1 - p4, 1 -&n

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671.

If 1 + 4p4, 1 - p4, 1 - 2p2 are the probabilities of three mutually exclusive events, then

  • 13  p  12

  • 13  p  23

  • 16  p  12

  • None of these


D.

None of these

Since, 1 + 4p4, 1 - p4, 1 - 2p2 are properties of mutually exclusive events, then

      0  1 + 4p4 + 1 - p4 + 1 - 2p2  1 0  1 + 4p + 1 - p + 2 - 4p4  1 0  4 - p  4 - 4  - p  4     0  p  4       ...iAlso, 0  1 + 4p4  1, 0  1 - p4  1and   0  1 - 2p2  1    0  1 + 4p  4, 0  1 - p  4and   0  1 - 2p  2  - 14  p  34, - 3  p  1and - 12  p  12     ...iiFrom Eqs. (i) and (ii), we get            0  p  12


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672.

If A and B are two events, then PA  B is equal to

  • PAPB

  • 1 - P(A) - P(B)

  • PA + PB - PA  B

  • PB - PA  B


673.

Two dice are thrown simultaneously. The probability of getting a pair of ACE is

  • 1/36

  • 1/3

  • 1/6

  • None of these


674.

If two events A and B are mutually exclusive events, then P(A/B) is equal to

  • 0

  • 1

  • PA  BPB

  • PA  BPA


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675.

If A and B are two such events that PA  B = PA  B, then which of the following is true?

  • P(a) + P(B) = 0

  • P(A) + P(B) = P(A)P(B/A)

  • P(A) + P(B) = 2P(A)P(B/A)

  • None of the above


676.

Probability of getting a total of 7 or 9 in a single throw of two dice is

  • 518

  • 16

  • 19

  • None of these


677.

Let A and B be two events of an experiment PA = 14, PA  B = 12, then the value of PBAC is

  • 23

  • 13

  • 56

  • 12


678.

A die is rolled three times. The probability of getting a larger number than the previous number is

  • 5216

  • 554

  • 16

  • 536


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679.

If A and B are mutually exclusive events, then P(A/B) is equal to

  • 0

  • 1

  • PA  BPA

  • PA  BPB


680.

If PA = 12, PB = 13 and PA  B = 14, then the value of PBA wll be

  • 1

  • 0

  • 12

  • 13


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