Subject

    Quantitative Aptitude

    Topic

    Probability

    One card is drawn from a pack of 52 cards, each of the 52 cards being equally likely to be drawn find the probability the card drawn is black.

    ক)
    1/2
    খ)
    2/3
    গ)
    3/4
    ঘ)
    2/5
    ঙ)
    None of these

    Explanation

    We know that: When one card is drawn from a pack of 52 cards The numbers of possible outcomes n(s) = 52 We know that there are 26 black cards in the pack of 52 cards ⇒ The numbers of favorable outcomes n(E) = 26 Probability of occurrence of an event : P(E)=Number of favorable outcomesNumeber of possible outcomes=n(E)n(S)P\left( E \right) = {{Number\ of\ favorable\ outcomes} \over {Numeber\ of\ possible\ outcomes}} = {{n\left( E \right)} \over {n\left( S \right)}} ∴  required probability = 26/52=1/2

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