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JEE Main & Advanced Mathematics Probability Question Bank Mock Test - Probability

  • question_answer
    There are 20 cards. Ten of these cards have the letter "I" printed on them and the other 10 have the letter "T" printed on them. If three cards are picked up at random and kept in the same order, the probability of making word IIT is

    A) 4/27                 

    B) 5/38

    C) 1/8                   

    D) 9/80

    Correct Answer: B

    Solution :

    [b] Consider the following events: A: getting a card with mark I in first draw B: getting a card with mark I in second draw C: getting a card with mark T in this draw Then, the required probability is \[P(A\cap B\cap C)=P(A)P(B/A)P(C/A\cap B)\] \[=\frac{10}{20}\times \frac{9}{19}\times \frac{10}{18}=\frac{5}{38}\]


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