LIC AAO 05 Mar 2016 Paper

Question : 42 of 160

Marks: +1, -0

There are 6 red balls and 4 yellow balls in a bag. Two balls are simultaneously drawn at random. What is the probability that both the balls are of same colour ?

7/15
5/12
7/11
7/8
1/8

Validate

Solution:

There are 10 balls in the bag
Total possible outcomes
= Selection of 2 balls out of 10 balls
=

↖{10}C_2

{10×9}/{1×2}

= 45
Total favourable outcomes
Selection of 2 balls out of 6 red balls 4 selection of 2 balls Out of 4 yellow balls
=

↖{n}C_2

↖{4}C_2

{6×5}/{1×2}

{4×3}/{1×2}

= 15 + 6 = 21
∴ Required probability
=

{21}/{45}

7/{15}

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