Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Let\'s play Pick-A-Ball with replacement! There are 10 colored balls: 5 red, 2 w

ID: 3208357 • Letter: L

Question

Let's play Pick-A-Ball with replacement! There are 10 colored balls: 5 red, 2 white, and 3 blue. The balls nave been placed into a small bucket, and the bucket has been shaken thoroughly. You will be asked to reach into the bucket, without looking, and select two balls. Since the bucket has been shaken thoroughly, you can assume that each individual ball is selected at random with equal likelihood of being chosen. Now, close your eyes! Reach into the bucket, and pick a bail. (Click the red Pick-A-Ball! icon to select your ball.) What is the probability of selecting the color of ball that you just selected? (Enter your answer m decimal format and round it to two decimal places) Assume you have put your first ball back into the bucket. Now, reach m (again, no peeking!), and pick your second ball. (Click the red Pick-A-Ball! icon to select your second ball.) What is the probability of selecting the color of the ball that you just selected? (Enter the answer in acmes for mat rounding to 2 decimal places).

Explanation / Answer

there are total 10 balls ,

now there are 2 white balls

so Probability that first ball drawn is white = 2/10 = 0.2

similarly since white ball is replaced

now

there are total 10 balls again

and there are 2 white balls

so Probability that next ball drawn is white = 2/10 = 0.2