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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? Homework Help ✎

Find the probability of landing on green in one spin.

$x=$ The probability of landing on green in one spin
$P(\text{green and green)}=x·x=0.16$

$x^2=0.16$

$x=0.4$

Refer to the model to help you find the probability of landing on purple in one spin.

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

P(purple) $x$ P(purple)$=(.60)(.60)=.36=36\%$