Chapter 10.1, Problem 7E

To determine

To calculate:

Probability that exactly two of five constants win a prize during a week.

Answer to Problem 7E

Probability that exactly two of five constants win a prize during a week is $\frac{5}{16}$ .

Explanation of Solution

Given information:

  

The question is related to the number of possible outcomes.

The random experiment that is considered is that card drawn at a random from a bag with the assigned composition of cards of the different colors.

The total number cases is given as,

Winner	Outcomes
$0$	$1$
$1$	$5$
$2$	$10$
$3$	$10$
$4$	$5$
$5$	$1$

The total number of outcomes is $32$

The numbers of favorable outcomes are $10$ .

The probability that exactly two of five contestants win a prize during a week is given by,

  $\begin{array}{l}P=\frac{Numberoffavorableoutcomes}{Totalnumberofoutcomes}\\ P=\frac{10}{32}\\ P=\frac{5}{16}\end{array}$