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?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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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