Statistics - Probabilities

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21. The probability of drawing an ace or a spade or both from a deck of cards is

  • Option : B
  • Explanation : Probability of drawing an ace from a deck of 
    52 cards =  4/52
    Similarly the probability of drawing a card of
    spades = 13/52
    Probability of drawing an ace of spades = 1/52
    Since two events (i.e. a card being an ace and a
    card being of spades) are not mutually exclusive.
    therefore
    Probability of drawing an ace or a spade

    Probability

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22. P(A1' ∪ A2' ∪ A3') = 1 - P(A1) P(A2/A1) P(A3/A1 ∩ A2)

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23. If P (A/C) ≥ P(B/C)  and P(A/C1') ≥ P(B/C1'), then

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24. If A and B are independent and P (C) = 0, then A, B and C are independent,

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25. A man alternately tosses a coin and throw:, a dice, beginning with the coin. Then the probability that he will get a head before he gets a 5 or 6 on dice is

  • Option : B
  • Explanation : Probability

    Let A be the event of getting 5 or 6
    P(A) = 1/3 and B be the event of getting 1,2,3,4
    P(B) = 2/3
    In order to get a 'Head' before "5 or 6",  the
    following events have to occur:
    H, TBH, TBTBH, TBTBTBH, ....

     Probability

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