JEE Main & Advanced Mathematics Probability Question Bank Odds in favour and odds against Addition theorem on probability

  • question_answer
    If the probability of a horse A winning a race is 1/4 and the probability of a horse B winning the same race is 1/5, then the probability that either of them will win the race is

    A)                 \[\frac{1}{20}\]    

    B)                 \[\frac{9}{20}\]

    C)                 \[\frac{11}{20}\]  

    D)                 \[\frac{19}{20}\]

    Correct Answer: B

    Solution :

                       \[P(A\cup B)=P(A)+P(B)=\frac{1}{4}+\frac{1}{5}=\frac{9}{20}.\] {Since events are mutually exclusive, so \[P(A\cap B)=0\}\]


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