Statistics - Probabilities

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26. Six dice are thrown simultaneously. The probability that all will show different faces is

  • Option : B
  • Explanation : Number of ways different numbers can occur
    on six dice = 6!

    Total number of ways of occurrence = 65
    Required probability,  Probability

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27. A box A contains 2 white and 4 black balls. Another box B contains 5 white and 7 black balls. A ball is transferred from the box A to the box B, Then a ball is drawn from the box B The probability that it is white is

  • Option : A
  • Explanation : Probability of drawing a white ball from Box B will depend on whether 
    transferred ball is black or white.
    If a black ball is transferred then its probability is 4/6
    There are now 5 white and 8 black balls in the
    box B. Then probability of drawing white ball
    from the Box B = 5/13
    Hence probability of drawing a white ball from
    urn B, if the transferred ball is black

                                              Probability

    Similarly, probability of drawing a white ball
    from urn E, if transferred ball is white

     Probability

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28. If P (A) = 0, then P (A ∩ B) =?

  • Option : A
  • Explanation : P(A) = 0
    A = φ
    A ∩ B = φ
    P(A ∩ B) = P(φ) = 0
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29. Which of the following is correct?

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30. A problem in mechanics is given to three students A, B and C whose chances of slogging it are 1/2, 1/3 and 1/4 respectively. Then probability that the problem will be solved is

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