Subject

    Quantitative Aptitude

    Topic

    Probability

    Ajay and his wife Reshmi appear in an interview for two vaccancies in the same post. The Probability of Ajay's selection is 1/7 and that of his wife Reshmi's selection is 1/5. What is the probability that only one of them will be selected?

    ক)
    5/7
    খ)
    1/5
    গ)
    2/7
    ঘ)
    2/35

    Explanation

    P( only one of them will be selected) = p[(E and not F) or (F and not E)] = P[(E∩F)∪(F∩E)]P\left[\left(E\cap F\right)\cup\left(F\cap E\right)\right] = P(E)P(F)+P(F)P(E)P\left(E\right)P\left(F\right)+P\left(F\right)P\left(E\right) = 17×45+15×67=27\frac17\times\frac45+\frac15\times\frac67=\frac27

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