Chapter 8.7, Problem 49STP

To determine

To select:

The correct option to show probability that a coin selected from the jar at random will be dime:

F. $0.35$

H. $0.5$

G. $0.4$

J. $0.78$

Answer to Problem 49STP

The correct option is J. The probability that a coin selected from the jar at random will be dime is $0.78$

Explanation of Solution

Given information:

  $\begin{array}{l}n=25\\ S=25+7=32\end{array}$

Calculation:

Probability is the number of successes divided by the total of possible outcomes. Here, the success is choosing a dime and the total outcomes are the total number of coins, which is:

  $S=25+7=32$

The probability that a coin selected from the jar at random will be dime is calculated as:

  $\begin{array}{l}P=\frac{n}{S}\\ P=\frac{25}{25+7}\\ P=0.78\end{array}$

The correct option is J.