Two bags contain respectively 10 white, 6 red and 9 black balls and 3 white, 7 red and 15 black balls. One ball is drawn from each box. Find the probability that (a) Both Balls are Red. (b) Both Balls are of the same colour.
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Answer:
Given
Bag 1. Bag 2
10 white ball. 3 white ball
6. red ball. 7 red ball
9. black ball 15. black ball
Total=25 balls. 25 balls
WW=(10/25)×(3/25)=30/√25
RR=(6/25)×(7/25)=42/√25
BB=(9/25)×(15/25)=135/√25
Probability = 30+42+135/√25
= 207/625.
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