### Home > CCG > Chapter 6 > Lesson 6.2.4 > Problem6-87

6-87.

A particular spinner only has two regions: green and purple. If the spinner is randomly spun twice, the probability of it landing on green twice is $16\%$. What is the probability of the spinner landing on purple twice?

Find the probability of landing on green in one spin. Make a generic rectangle with the probabilities for Green and Purple at the top and left side. Then fill in the grid by multiplying the probabilities.

$x =$ the probability of landing on green in one spin.
P(green and green) $= x · x = 0.16$

$x^2 = 0.16$

$x = 0.4$

The probabilities of all possible outcomes need to add up to $1$ or $100%$%. If $x$ is $0.4$, what would $y$ be?

Use the value of $y^{^{ }2}$ to help you find the probability of landing on purple twice.