Chapter 13.4, Problem 28STP

To determine

To calculate:

Probability that the player will roll a umber higher than $4$ two or more times in $5$ roll.

Answer to Problem 28STP

Probability that the player will roll a umber higher than $4$ two or more times in $5$ roll is $\frac{27}{50}$ .

Explanation of Solution

Given information:

Number of rolls greater than $4$	Frequency
$0$	$8$
$1$	$15$
$2$	$18$
$3$	$9$
$4$	$0$
$5$	$0$

For finding the probability that a player will roll a number higher than $4$ two or more times in $5$ rolls, take the sum of the probabilities of rolling each number of rolls greater than $4$ two or more times.

Take the sum of the probabilities of rolling each number of rolls greater than $4$ two or more times.

  $P$ ( $2$ or more times) ,

  $\begin{array}{l}=P\left(2\right)+P\left(3\right)+P\left(4\right)+P\left(5\right)\\ =\frac{18}{50}+\frac{9}{50}+\frac{0}{50}+\frac{0}{50}\\ =\frac{27}{50}\end{array}$