Subject

    Quantitative Aptitude

    Topic

    Probability

    If the probability that A will live 15 years is 78\frac{7}{8} and that B will live 15 years is 910\frac{9}{{10}} hen what is the probability that both will live 15 years?

    ক)
    \(\frac{1}{{20}}\)
    খ)
    \(\frac{{63}}{{80}}\)
    গ)
    \(\frac{{1}}{{5}}\)
    ঘ)
    Cannot be determined
    ঙ)
    None of these

    Explanation

    Probability of living of A and B are mutually exclusive. Hence, P(AUB)= P(A) × P(B). Hence, the probability that both will live 15 years = (78×910)=6380\left( {\frac{7}{8} \times \frac{9}{{10}}} \right) = \frac{{63}}{{80}}

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