2. Questions Bank
  3. JEE Main & Advanced
  4. Mathematics
  5. Probability

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

  • question_answer
    Three athlete A, B and C participate in a race competetion. The probability of winning A and B is twice of winning C. Then the probability that the race win by A or B, is

    A)                 \[\frac{2}{3}\]       

    B)                 \[\frac{1}{2}\]

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

    D)                 \[\frac{1}{3}\]

    Correct Answer: C

    Solution :

                       \[P(A)=P(B)=2P(C),\]                    \[P(A)+P(B)+P(C)=1\]\[\Rightarrow P(C)=\frac{1}{5}\]and \[P(A)=P(B)=\frac{2}{5}\]                                 Hence \[P(A\cup B)=P(A)+P(B)=\frac{2}{5}+\frac{2}{5}=\frac{4}{5}.\]


You need to login to perform this action.
You will be redirected in 3 sec spinner