JEE Main & Advanced Mathematics Probability Question Bank Definition of probability

  • question_answer
    Five horses are in a race.  Mr. A selects two of the horses at random and bets on them. The probability that Mr. A selected the winning horse is                                             [AIEEE 2003]

    A)                 \[\frac{4}{5}\]       

    B)                 \[\frac{3}{5}\]

    C)                 \[\frac{1}{5}\]       

    D)                 \[\frac{2}{5}\]

    Correct Answer: D

    Solution :

               Out of 5 horses only one is the winning horse. The probability that Mr. A selected the losing horse \[=\frac{4}{5}\times \frac{3}{4}\] \ The probability that Mr. A selected the winning horse \[=1-\frac{4}{5}\times \frac{3}{4}=\frac{2}{5}\].


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