Question

4. Two card are down Randomly from well suffled deck of card without Replacement Find the probability by of getting both Face card at two succession tree diagram.​

Answer 1

`(11)/(221)\approx{0.0498}\approx{4.98\%}`

Explanation:

Two cards are drawn randomly from a well-shuffled deck of cards without replacement. Find the probability of getting both face cards in succession.

In a deck of 52 cards, there are three face cards (J, Q, and K) in each of four suits (clubs, diamonds, hearts, and spades). That means there are 12 face cards in total (J♣, Q♣, K♣, J♦, Q♦, K♦, J♥, Q♥, K♥, J♠, Q♠, K♠).

The probability of drawing a face card the first time, then, is 12 out of 52.

There is now one less face card in the deck, as well as one less card in the deck. Therefore, the probability of drawing a face card a second time is 11 out of 51.

The probability, then, of drawing two face cards in succession is:

`(12)/(52)*{(11)/(51)}=(132)/(2652)=(11)/(221)\approx{0.0498}\approx{4.98\%}`