Question

A bag contains 5 red and 3 blue balls. If 3 balls are drawn at random without replacement the probability of getting exactly one red ball is ______.

विकल्प

• `45/196`

• `135/392`

• `15/56`

• `15/29`

Answer 1

A bag contains 5 red and 3 blue balls. If 3 balls are drawn at random without replacement the probability of getting exactly one red ball is `15/56`.

Explanation:

Given that: Bag contains 5 red and 3 blue balls.

Probability of getting exactly one red ball if 3 balls are randomly drawn without replacement

= P(R) . P(B) . P(B) + P(B) . P(R) . P(B) + P(B) . P(B) . P(R)

= `5/8*3/7*2/6 + 3/8*5/7*2/6 + 3/8*2/7*5/6`

= `30/336 + 30/336 + 30/336`

= `90/336`

= `15/56`