Q. 6 C5.0( 4 Votes )

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

the first is a heart and second is red.

Answer :

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

Let A be the event that first card drawn is a heart. There are 13 hearts in the pack. Hence, the probability of the first card is a heart is

Let B be the event that second card is red without replacement. Then there are 26 red cards in the pack but as the cards are not replaced now there are 25 red cards as one heart which is red in color is already drawn out. Therefore, the probability of the second card is a red is

Then the probability of getting first is a heart and the second is a red card without replacement is

The probability that first is a heart and the second is red card without replacement is

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