A die is rolled three times. The probability of getting a larger

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 Multiple Choice QuestionsMultiple Choice Questions

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


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


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678.

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

  • 5216

  • 554

  • 16

  • 536


B.

554

When a die is rolled three times

Then, cardinality of sample space = 63

Now, according to question, the favourable outcomes

= {(1, 2, 3), (1, 2, 4), (1, 2, 5), (1, 2, 6), (1, 3, 4), (1, 3, 5), (1, 3, 6), (1. 4, 5), (1, 4, 6), (1, 5, 6), (2, 3, 4), (2, 3, 5), (2, 3, 6), (2, 4, 5), (2, 4, 6), (3, 4, 5), (3, 4. 6), (4, 5, 6), (2, 5, 6), (3, 5, 6)}

 Required probability = 2063 = 554


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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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