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
    One card is drawn randomly from a pack of 52 cards, then the probability that it is a king or spade is     [RPET 2001]

    A)                 \[\frac{1}{26}\]    

    B)                 \[\frac{3}{26}\]

    C)                 \[\frac{4}{13}\]    

    D)                 \[\frac{3}{13}\]

    Correct Answer: C

    Solution :

                       Probability of king \[P(A)=\frac{4}{52}=\frac{1}{13}\]                    Probability of spade \[=\frac{13}{52}\] \[=\frac{1}{4}\]                    \ \[P\](King or spade)                                 = \[P(\]king) + P (spade)\[-P\](King and spade)                                                 \[=\frac{1}{13}+\frac{1}{4}-\frac{1}{52}\]\[=\frac{4+13-1}{52}=\frac{16}{52}=\frac{4}{13}\].


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