Let x represent the number of times Joe should expect the spinner to land on green.
We have been Joe has a spinner. The probability of landing on green is 3/8. Joe spins the spinner 184 times. We are asked to find the number of times Joe should expect the spinner to land on green.
We will use proportions to solve our given problem.
[tex]\frac{\text{Green}}{\text{Total}}=\frac{3}{8}[/tex]
Upon substituting our given values in above equation, we will get:
[tex]\frac{x}{184}=\frac{3}{8}[/tex]
[tex]\frac{x}{184}\cdot 184=\frac{3}{8}\cdot 184[/tex]
[tex]x=3\cdot 23[/tex]
[tex]x=69[/tex]
Therefore, Joe should expect the spinner to land on green 69 times.
