Question

There are 2 red and 3 black balls in a bag. 3 balls are taken out at random from the bag. Find the probability of getting 2 red and 1 black balls or 1 red and 2 black balls.

Answer 1

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Answer 2

Answer:

9/10

Step-by-step explanation:

There are 2 red and 3 black balls in a bag. 3 balls are taken out at random from the bag. Find the probability of getting 2 red and 1 black balls or 1 red and 2 black balls.

2 - RED

3 - BLACK

3 Balls are taken

Probability of 2 red and 1 black balls or 1 red and 2 black balls.

= 1 - probability of all 3 black

Probability of all 3 black = (3/5)(2/4)(1/3) = 1/10

Probability of 2 red and 1 black balls or 1 red and 2 black balls.

= 1 - 1/10 = 9/10