Three boxes of the same appearance have the following proportions of white and black balls-Box I: 1 white and 2 black; Box II: 2 white and 1 black; Box III: 2 white and 2 black. One of the boxes is selected at random and one ball is drawn randomly from it. It turns out to be white. What is the probability that the third box is chosen?

Name: Three boxes of the same appearance have the following proportions of white and black balls-Box I: 1 white and 2 black; Box II: 2 white and 1 black; Box III: 2 white and 2 black. One of the boxes is selected at random and one ball is drawn randomly from it. It turns out to be white. What is the probability that the third box is chosen?
Uploaded: 2023-02-09T23:07:14-08:00
Duration: 2 min 57 s
Channel: Sri K
Description: Three boxes of the same appearance have the following proportions of white and black balls-Box I: 1 white and 2 black; Box II: 2 white and 1 black; Box III: 2 white and 2 black. One of the boxes is selected at random and one ball is drawn randomly from it. It turns out to be white. What is the probability that the third box is chosen?

          Three boxes of the same appearance have the following proportions of white and black balls-Box I: 1 white and 2 black; Box II: 2 white and 1 black; Box III: 2 white and 2 black. One of the boxes is selected at random and one ball is drawn randomly from it. It turns out to be white. What is the probability that the third box is chosen?

Added by Michael L.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Sri K

02/09/2023

Step 1

This is (2/3) * (1/2) = 1/6. Show more…

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Three boxes of the same appearance have the following proportions of white and black balls-Box I: 1 white and 2 black; Box II: 2 white and 1 black; Box III: 2 white and 2 black. One of the boxes is selected at random and one ball is drawn randomly from it. It turns out to be white. What is the probability that the third box is chosen?