Solution Found!
Bowl A contains three red and two white chips, and bowl B
Chapter 1, Problem 16E(choose chapter or problem)
Bowl A contains three red and two white chips, and bowl B contains four red and three white chips. A chip is drawn at random from bowl A and transferred to bowl B. Compute the probability of then drawing a red chip from bowl B.
Questions & Answers
QUESTION:
Bowl A contains three red and two white chips, and bowl B contains four red and three white chips. A chip is drawn at random from bowl A and transferred to bowl B. Compute the probability of then drawing a red chip from bowl B.
ANSWER:
Step 1 of 3 :
It is given that
Bowl A Bowl B
No of red chips = 3 No of red chips= 4
No of white chips = 2 No of white chips = 3
It is also given that a chip is drawn randomly from bowl A and transferred to bowl B.
So then there will be two chances that drawing a red chip from Bowl B.
- Drawing a white chip from bowl A and transferred to bowl B and then drawing a red chip from bowl B.
- Drawing a red chip from bowl A and transferred to bowl B and then drawing a red chip from bowl B.
By Bayes theorem probability of drawing a red chip from bowl B will be the addition of these two probabilities.
Step 2 of 3:
Let define the events
A = drawing a red chip from Bowl B after transferring a chip from bowl A to B which is randomly chosen.
W = a white chip transferred