A basket contains 3 blue, 5 black and 3 red balls. If 2 balls are drawn at random, what is the probability that one is black and one is red? A. 2/11 B. 8/11 C. 9/11 D. 3/11 E. None of these

A basket contains 3 blue, 5 black and 3 red balls. If 2 balls are drawn at random, what is the probability that one is black and one is red?

1. 2/11
2. 8/11
3. 9/11
4. 3/11
5. None of these

Answer & Explanation

Answer: Option D
Selecting 1 black ball out of 5 = 5C1 ways.Selecting on red ball out of 3 = 3C1 ways
The required probability = ( 5C1 × 3C1)/ 11C2 = 3/11

TAGS:

A basket contains 3 blue, 5 black and 3 red balls. If 2 balls are drawn at random, what is the probability that one is black and one is red? A. 2/11 B. 8/11 C. 9/11 D. 3/11 E. None of theseA basket contains 3 blue, 5 black and 3 red balls. If 2 balls are drawn at random, what is the probability that one is black and one is red? A. 2/11 B. 8/11 C. 9/11 D. 3/11 E. None of theseA basket contains 3 blue, 5 black and 3 red balls. If 2 balls are drawn at random, what is the probability that one is black and one is red? A. 2/11 B. 8/11 C. 9/11 D. 3/11 E. None of these