You are dealt one card from a 52 card deck. Then the card is replaced in the deck, the deck is shuffled, and you draw again. Find the probability of getting a picture card the first time and a club the second time. Express the probability as a simplified fraction.

The probability of getting a picture card the first time and a club the second time is .

Given that,

Based on the above information,

The probability of the first half should be

And, there are four types of suites i.e. Club, Spade, hearts & diamonds.

So, the probability of attaining the club is

Therefore the  probability of getting a picture card is

Thus we can conclude that the probability of getting a picture card the first time and a club the second time is .

Learn more: link

3/52

Step-by-step explanation:

There are 13 types of cards (A, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K), out of which 3 (J, Q, K) are face cards. This means that the probability for the first half is 3/13. There are 4 suites (Club, Spade, Hearts, and Diamonds). This means the probability of attaining a club is 1/4. 3/13 * 1/4 = 3/52