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प्रश्न
All kings, queens and aces are removed from a pack of 52 cards. The remaining cards are well shuffled and then a card is drawn from it. Find the probability that the drawn card is (i) a black face card. (ii) a red card.
उत्तर
Total number of cards in a pack = 52
A pack contains of 4 kings, 4 queens and 4 aces.
∴ Number of cards removed = 4 + 4 + 4 = 12
Remaining number of cards in the pack = 52 − 12 = 40
(i) Number of black face cards = 2 (jacks of spade and club)
P(a black face card)=`\text{Number of black face cards}/\text{ Remaining Number of cards in the pack}`
`=2/40`
`=1/20`
Thus, the probability of getting a black face card is`1/20`.
(ii) Remaining number of red cards = 26 − (2 + 2 + 2) = 26 − 6 = 20
P(red card)=`\text{Remaining number of red cards}/\text{Remaining number of cards in the pack}`
Thus, the probability of getting a red card is`1/2`.
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