A vase contains yellow, pink and mauve flowers.  You and a friend are both allowed to choose one flower each from the vase to take home.  You choose a flower first and then your friend chooses a flower. The probability that you choose a yellow flower and then your friend chooses a mauve flower is 0.465.  The probability your friend picks a mauve flower after you choose a yellow is 0.75. The probability, to the nearest hundredth, that you choose a purple flower is?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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A vase contains yellow, pink and mauve flowers.  You and a friend are both allowed to choose one flower each from the vase to take home.  You choose a flower first and then your friend chooses a flower.

The probability that you choose a yellow flower and then your friend chooses a mauve flower is 0.465.  The probability your friend picks a mauve flower after you choose a yellow is 0.75. The probability, to the nearest hundredth, that you choose a purple flower is?

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