Question

A standard deck of 52 playing cards contains four of each numbered card 2â€"10 and four each of aces, kings, queens, and jacks. Two cards are chosen from the deck at random. Which expression represents the probability of drawing a king and a queen?.

Answer 1

Probability is the ratio of the favorable output to the total outcomes.The probability of drawing a king and a queen is 8/363.

Given -

The probability to choose two card from the deck at random is $^{52}C_{2}$

The probability to choose a king from four kings is $^{4}C_{1}$

The probability to choose a queen from four queens is $^{4}C_{1}$

Probability

Probability is the ratio of the favorable output to the total outcomes

Let P be the probability to choose 2 random cards drawing a king and a queen then,

$P={\dfrac{^{4}C_{1}\times ^{4}C_{1}}{^{52}C_{2}}$

$P=\dfrac{\dfrac{4!}{3!1!}\times\dfrac{4!}{3!1!}}{\dfrac{52!}{50!2!} }$

$P=\dfrac{4\times4\times2}{52\times 51}$

$P=\dfrac{8}{363}$

Hence, the probability of drawing a king and a queen is 8/363.

For more about the probability follow the link https://brainly.com/question/795909

Answer 2

Answer: d

Step-by-step explanation: 100% on edge