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  • Two cards are drawn at random and without replacement from a pack of 52 playing cards. Find the probability that both the cards are black.

Q.2 Two cards are drawn at random and without replacement from a pack of 52 playing cards. Find the probability that both the cards are black.

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  Two cards are drawn at random and without replacement from a pack of 52 playing cards.

  There are 26 black cards in a pack of 52.

  Let  P(A) be the probability that first  cards is black.

Then, we have 

                           P(A)= \frac{26}{52}=\frac{1}{2}

  Let  P(B) be the probability that second  cards is black.

Then, we have 

                           P(B)= \frac{25}{51}

The probability that both the cards are black =P(A).P(B)

                                                                         =\frac{1}{2}\times \frac{25}{51}

                                                                       =\frac{25}{102}

Posted by

seema garhwal

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