Question
There are two bags I and II. Bag I contains 2 white and 4 red balls and Bag II contains 5 white and 3 red balls. One ball is drawn at random from one of the bags and is found to be red. Find the probability that it was drawn from bag II.
Solution
|
Bag I |
Bag II |
|
Number of white balls = 2 |
Number of white balls = 5 |
|
Number of red balls = 4 |
Number of red balls = 3 |
|
Total number of balls = 6 |
Total number of balls = 8 |
Let E1 and E2 be the events of the ball being drawn from bag I and bag II respectively and E be the event that the drawn ball is red.
Since both the bags are equally likely to be selected
