Q. 6 B4.7( 3 Votes )

Two cards are drawn without replacement from a pack of 52 cards. Find the probability that

the first is a king and the second is an ace

Answer :

Total number of all favorable cases is n(S) = 52


Let A be the event that first card drawn is a king. There are four kings in the pack. Hence, the probability of the first card is a king is



Let B be the event that second card is an ace without replacement. Then there are 4 aces in the pack as the cards are not replaced. Therefore, the probability of the second card is an ace is



Then the probability of getting first is a king and the second is an ace without replacement is



(as there are 4 kings out of 52 cards in first draw, and 4 aces out of 51 cards in the second draw as the cards are not replaced)



The probability that first is a king and the second is an ace without replacement is


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