Chapter 13.9, Problem 4GP

To determine

To calculate: To find the probability that the final first-round game involves A and M

Answer to Problem 4GP

The probability that both spinners show a $2$ is $\frac{1}{8}$

Explanation of Solution

Given information: Two spinners with four equal sections, numbered from 1 to 4 are spun.

Formula Used:

Probability is defined as the likelihood of an event.

Probability is calculated as

  $\mathrm{Probability}=\frac{Event}{Outcomes}$

Calculation:

Event is defined as spinning two spinner simultaneously

Total number of possible outcomes $=4\times 4=16$

Thus, probability that both spinner show $2$ is calculated as

  $\begin{array}{l}P=\frac{2}{16}\\ P=\frac{1}{8}\end{array}$

Conclusion:

Hence, the required probability is $\frac{1}{8}$