Chapter 8.2, Problem 8.38E

(a)

To determine

To calculate what is the probability of getting big slick if you deal two cards from a well shuffled deck.

Answer to Problem 8.38E

  $1.21\%$

Explanation of Solution

The number of ways to pick two cards using that a card deck contains $52$ cards.

  $\begin{array}{l}P=\frac{52!}{(52-50)!}\\ =52\times 51\\ =2652\end{array}$

The number of ways to pick an ace and a king is:

  $4\times 4\times 2=32$

The probability is then:

  $\begin{array}{l}\frac{32}{2652}=0.0121\\ =1.21\%\end{array}$

(b)

To determine

To calculate what is the probability that player one will get big slick.

Answer to Problem 8.38E

  $1.21\%$

Explanation of Solution

The probability is the same as in part (a) because the number of players does not change the probability.