Subject

    Bank Exam

    Topic

    Al-Arafah Islami Bank Ltd. 2011 (MTO)

    A man can hit a target once in 4 shots. If he fires 4 shots in succession, what is the probability that he will hit his target?

    ক)
    1/256
    খ)
    81/256
    গ)
    175/256
    ঘ)
    144/256

    Explanation

    Probability of a hit in one shot = 1/4 Probability of a miss in one shot = 1-1/4=3/4 1 - P(misses 1st time AND misses 2nd time AND misses 3rd time AND misses 4th time) "AND" means "MULTIPLY": 1 - P(misses 1st time)*P(misses 2nd time)*P(misses 3rd time)*P(misses 4th time) so probability=1-(3/4X3/4X3/4x3/4)=1-81/256=175/256

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