A box contains 6 red balls, 7 yellow balls, and 2 green balls. All the balls are the same except for their color. Jaime picks a ball from the box, records the color, then returns the ball to the box. He does this 3 times. What is the probability that all three balls that Jaime picked were red?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 11T: Three people are chosen at random from a group of five men and ten women. What is the probability...
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can you please anwser this for my homework?

A box contains 6 red balls, 7 yellow balls, and 2 green balls. All the balls are the same except for their color. Jaime picks a ball from
the box, records the color, then returns the ball to the box. He does this 3 times.
What is the probability that all three balls that Jaime picked were red?
Transcribed Image Text:A box contains 6 red balls, 7 yellow balls, and 2 green balls. All the balls are the same except for their color. Jaime picks a ball from the box, records the color, then returns the ball to the box. He does this 3 times. What is the probability that all three balls that Jaime picked were red?
Expert Solution
Step 1

In the box are 15 balls (6 red balls, 7 yellow balls and 2 green balls) 3 balls are drawn in succession and each ball is replaced in box before next draw is made .We need to find probability that all 3 were red. First ball can be drawn from box in 15 ways .Since balls are replaced in before each draw, second and third ball can also be drawn in 15 ways. Number of all possible cases in which 3 balls can be drawn in succession = 15.15.15=3375

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