Multiple choice

Directions: There are two bags. The first bag has 9 red balls and 7 blue balls. The second bag has 8 red balls and 6 blue balls. One ball is drawn from first bag and put in the second bag. Then one ball is drawn from second bag. What is probability that the ball drawn from second bag is blue?

  1. 103 240

  2. 9 16

  3. 7 15

  4. 6 15

  5. None of these

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Bag 1: 9R, 7B. Bag 2: 8R, 6B. Case 1: Red drawn from Bag 1 (9/16). Bag 2 becomes 9R, 6B. P(Blue from Bag 2) = 6/15. Case 2: Blue drawn from Bag 1 (7/16). Bag 2 becomes 8R, 7B. P(Blue from Bag 2) = 7/15. Total P = (9/16 * 6/15) + (7/16 * 7/15) = (54 + 49) / 240 = 103/240.