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Home » Choose the correct answer out of four given options in each of the exercise while shuffling a pack of 52 playing cards, 2 are accidentally dropped. Find the probability that the missing cards to be of different colours A. B. C. D.
Choose the correct answer out of four given options in each of the exercise while shuffling a pack of 52 playing cards, 2 are accidentally dropped. Find the probability that the missing cards to be of different colours
A. \frac{29}{52}
B. \frac{1}{2}
C. \frac{26}{51}
D. \frac{27}{51}
CBSE | Class 11 | Maths | NCERT Exemplar | Probability
Choose the correct answer out of four given options in each of the exercise while shuffling a pack of 52 playing cards, 2 are accidentally dropped. Find the probability that the missing cards to be of different colours
A. \frac{29}{52}
B. \frac{1}{2}
C. \frac{26}{51}
D. \frac{27}{51}

Solution:

Option (C) 26 / 51 is correct.
Explanation:
It is known that, in a deck of 52 cards 26 are red and 26 are of black.
Given that 2 cards are accidentally dropped
Therefore,
Probability of dropping a red card first =\frac{26}{52}
Probability of dropping a red card second =\frac{26}{51}
In the similar way,
Probability of dropping a black card first =\frac{26}{52}
Probability of dropping a black card second =\frac{26}{51}
\therefore \mathrm{P} (both cards of different colour) =\frac{26}{52} \times \frac{26}{51}+\frac{26}{52} \times \frac{26}{51}
=2 \times \frac{26}{52} \times \frac{26}{51}
=\frac{26}{51}
As a result, the correct option is (C).

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