Quantitative Aptitude - Probability

21. A bag contains 8 white and 6 red balls. The probability of drawing two balls of the same colour is

  • Option : B
  • Explanation : Two balls out 14 can be drawn in 14C2 ways which is the total number of outcomes.

    Two white balls out of 8 can he drawn in 8C2 ways

    Probability of drawing 2 white balls

                                                              Probability

    Similarly 2 red balls out of 6 call be drawn in
    6C2 ways

                                                                Probability
    Probability of drawing 2 red balls
    Probability of drawing 2 balls of the same
    colour (either both white or both red)

      Probability

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

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

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

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