Question

All the black honour cards are removed from a well-shuffled pack of 52 card. A card is then
drawn at random from the remaining pack. Find the probability of setting.
a red face card
a queen
black card

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Answer 1

As there are 6 black face cards in a pack 52 cards, and those cards are removed so,

No. of cards in pack =(52−6)=46

Solution(i):

No. of face cards =12−6=6....(6 black face cards are removed)

Therefore, 6C1( Selecting 1 out of 6 items) times out of 46C1( Selecting 1 out of 46 items) a face card is picked.

Let E be the event of getting a face card from the pack

We know that, Probability P(E) =(Total no.of possible outcomes)(No.of favorable outcomes)=46C16C1= 233

Solution(ii):

No. of red cards =26

Therefore, 26C1( Selecting 1 out of 26 items) times out of 46C1( Selecting 1 out of 46 items) a red card is picked.

Let E be the event of getting a red card from the pack

We know that, Probability P(E) =(Total no.of possible outcomes)(No.of favorable outcomes)=46C126C1= 23