Chapter 10.1, Problem 8E

To determine

To calculate:

Probability that draw a two spades.

Answer to Problem 8E

Probability that draw a two spades is $\frac{1}{16}$ .

Explanation of Solution

Given information:

  

The question is related to the number of possible outcomes.

The given experiment is drawing of two different cards, one from each deck, each one of which contains $52$ cards.

The event which is being considered here is that the two draws will have two spades.

The required probability that the draws will result in drawing two spades is,

  $P$ (drawing two spades) is calculated as,

  $\begin{array}{l}P=\frac{13}{52}\times \frac{13}{52}\\ P=\frac{1}{16}\end{array}$

Hence, Probability that draw a two spades is $\frac{1}{16}$ .