Question

Six cards King, Queen, Jack, Ace, the five and the nine of spades from a set of cards are
well shuffled. One card is picked up at random. Then it is kept aside and other card is
drawn. What is the probability that both the cards are Jacks of spade?​

Answer 1

Given:

Six cards King, Queen, Jack, Ace, the five and the nine of spades from a set of cards are well shuffled. One card is picked up at random. Then it is kept aside and other card is drawn.

To find:

What is the probability that both the cards are Jacks of spade?​

Solution:

Six cards King, Queen, Jack, Ace, the five and the nine of spades.

One card is picked up at random.

P(getting a Jack) = Number of cards that are Jack / Total number of cards

P(getting a Jack) = 1/6 (as there is only one Jack card)

Then it is kept aside and other card is drawn.

P(getting a Jack) = Number of cards that are Jack / Total number of cards

P(getting a Jack) = 0/6  

Thus the probability that both the cards are Jacks of spade = 1/6 × 0/6

Therefore, the probability that both the cards are Jacks of spade = 0