Subject

    Bank Exam

    Topic

    Joint Recruitment Test for 8 Banks (SO) [03-09-2019, AUST

    [ Read the following questions carefully and choose the right answer. ]A box contains 5 pink, 3 green and 2 yellow balls . Three balls are picked up randomly . What is the probability that none of the ball drawn is green ?

    ক)
    3/16
    খ)
    7/24
    গ)
    5/13
    ঘ)
    4/23

    Explanation

    প্রশ্নে বলা হচ্ছে, একটি বাক্সে 5টি গোলাপী, 3টি সবুজ এবং 2টি হলুদ রংয়ের বল আছে । 3টি বল বাক্সে হতে দৈবভাবে চয়ন করা হলে ঐ 3টি বলের কোনোটাই সবুজ না হবার সম্ভাবনা কত ? মোট বল রয়েছে = 5+3+2 = 10 গোলাপী ও হলুদ বল ( সবুজ নয় ) রয়েছে = 5+2 = 7টি 10টি হতে 3টি বল বাছাইয়ের সংখ্যা হলো  = 10 C 3 = 10×9×8/3×2×1 = 120 7টি সবুজ নয় এমন বল হতে 3টি বল বাছাইয়ের সম্ভাবনা = 7 C 3 = 7×6×5/3×2×1 = 35 নির্ণেয় সম্ভাব্যতা = 35/120  = 7/24
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