Question

The king, queen and jack of hearts are removed from a pack of 52 cards and then the pack is well shuffled. A card is drawn from the remaining cards. Find the probabilities of getting a black king.

Answer 1

Answer:

All kings and queens cards are removed from a pack of 52 cards .

In the pack of 52 playing cards there are 4 queen and 4 king .

So, remaining cards in deck = 52 - (4 + 4) = 52 - 8 = 44

Total number of outcomes = 44

(i) We know ,that there are 12 face cards. 4  kings ,4 queens and 4 jacks.

4  kings & 4 queens are removed. 4 jacks are left i.e 2 red & 2 black  

Red face cards = 2

Let E1 = Event of getting a red face card

Number of favourable outcomes to E1 = 2

Required probability P(E1) = Number of favourable outcomes / total number of outcomes

P(E1) = 2/44 = 1/22

Hence, the probability of getting a red face card , P(E1) = 1/22

Answer 2

Probability is 1/22...

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