Question

Three cards are drawn successively, without replacement from a pack of 52 well shuffled
cards. What is the probability that the drawn cards are face cards of same suit ?
​

Answer 1

Answer:

Three are successivelywithout from pack 52 shuffled

. is probability the cards face of suit

Step-by-step explanation:

A recent u I put

Answer 2

Let K denote the event that the card drawn is king and A be the event that the card drawn is an ace.

Now,

P(K)=

52

4

Also, P(K I K) is the probability of second king with the condition that one king has already been drawn.

Now there are three kings in (52−1)=51 cards.

P(K∣K)=

51

3

Again, P(A∣KK) is the probability of third drawn card to be an ace, with the condition that two kings have already been drawn. Now, there are four aces in remaining 50 cards. P(A∣KK)=

50

4

By multiplication law of probability, we have P(KKA)=P(K)P(K∣K)P(A∣KK)=

52

4

×

51

3

×

50

4

=

5525

2