There are three boxes. First box has 2 white, 3 black and 4 red balls. Second box has 3 white, 2 black and 2 red balls. Third box has 4 white, 1 black and 3 red balls. A box is chosen at random and 2 balls are drawn out of which 1 is write, and 1 is red. What is the probability that the ball balls came from first box?

Correct option is A

We are given three boxes, each with a different number of balls of three colors (white, black, red). A box is chosen at random, and two balls are drawn, one of which is white and the other red. We are to calculate the probability that the balls came from the first box.
Step 1: Box Composition
1. First Box:
· White: 2
· Black: 3
· Red: 4
· Total: 2 + 3 + 4 = 9
2. Second Box:
· White: 3
· Black: 2
· Red: 2
· Total: 3 + 2 + 2 = 7
3. Third Box:
· White: 4
· Black: 1
· Red: 3
· Total: 4 + 1 + 3 = 8