Question

A bag contains 8 black and 7 white balls. Two balls are drawn at random. Then for which the probability is more

• A. Both balls are white
• B. One ball is white and one is black
• C. Both balls are black
• D. All of the above are equals

Answer 1

Answer: (B)

One ball is white and one is black

Answer 2

Probability that both balls are white $= \frac { { } ^ { 7 } C _ { 2 } } { { } ^ { 15 } C _ { 2 } } = \frac { 1 } { 5 }$

Probability that both balls are black $= \frac { { } ^ { 8 } C _ { 2 } } { { } ^ { 15 } C _ { 2 } } = \frac { 4 } { 15 }$

Probability that one ball is white and one is black

$= \frac { { } ^ { 7 } C _ { 1 } \times { } ^ { 8 } C _ { 1 } } { { } ^ { 15 } C _ { 2 } } = \frac { 8 } { 15 }$.