### Home > INT2 > Chapter 10 > Lesson 10.1.2 > Problem10-24

10-24.

A spinner is divided into two regions. One region is red and has a central angle of $60°$. The other region is blue.

1. On your paper, sketch a picture of this spinner.

2. If the spinner is spun twice, what is the probability that both spins land on blue?

How much of the circle does the blue section occupy?

$\approx69.4\%$

3. If the radius of the spinner is $7.0$ cm, what is the area of the blue region?

Recall : area of a sector $=\frac{\theta}{360}\pi\text{r}^2$

4. A different spinner has three regions: purple, yellow, and green. If the probability of landing on purple is $\frac { 1 } { 4 }$ and the probability of landing on yellow is $\frac { 2 } { 3 }$, what is the central angle of the green region?

Find a common denominator between the probabilities to solve for the probability of landing on green.

Use the probability of landing on green in the equation given above.