Subject

    Quantitative Aptitude

    Topic

    Probability

    A coin is tossed twice if the coin shows head it is tossed again but if it shows a tail then a die is tossed. If 8 possible outcomes are equally likely. Find the probability that the die shows a number greater than 4, if it is known that the first throw of the coin results in a tail

    ক)
    1/3
    খ)
    2/3
    গ)
    2/5
    ঘ)
    4/15

    Explanation

    Here Sample space S = { HH, HT, T1, T2, T3, T4, T5, T6 } Let A be the event that the die shows a number greater than 4 and B be the event that the first throw of the coin results in a tail then, A = { T5, T6 } B = { T1, T2, T3, T4, T5, T6 } Therefore, Required probability = P(AB)=P(A∩B)P(B)=2868=13P\left(\frac AB\right)=\frac{P\left(A\cap B\right)}{P\left(B\right)}=\frac{\displaystyle\frac28}{\displaystyle\frac68}=\frac13

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