A bag contains S white and 4 green balls. Two balls are drawn from the

1.	A bag contains S white and 4 green balls. Two balls are drawn from the bag at random. Find the probability that they are: 1. of the same colour. 2. of different colours.
Answer» n = Two balls can be drawn from 5 white and 4 green balls in 9C₂ = 36 ways. 1. m = 2 balls of the same colour can be drawn in (2 W or 2 G) = (5C₂ × 4C₂) = (10 + 6) = 16 ways. Let P(A) = P( 2 balls of the same colour) = m/n = 16/36 =4/9 2. P(A¹ ) = P(2 balls of different colours) = 1 P(A) = 1- 4/9 = 5/9.

A bag contains S white and 4 green balls. Two balls are drawn from the bag at random. Find the probability that they are: 1. of the same colour. 2. of different colours.

Answer»

n = Two balls can be drawn from 5 white and 4 green balls in 9C₂

= 36 ways.

1. m = 2 balls of the same colour can be drawn in (2 W or 2 G)

= (5C₂ × 4C₂)

= (10 + 6) = 16 ways.

Let P(A) = P( 2 balls of the same colour)

= m/n = 16/36 =4/9

2. P(A¹ ) = P(2 balls of different colours)

= 1 P(A) = 1- 4/9 = 5/9.

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A bag contains S white and 4 green balls. Two balls are drawn from the bag at random. Find the probability that they are: 1. of the same colour. 2. of different colours.

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