Question
A bag contains 6 white and 4 black balls .2 balls are drawn at random. find the probability that they are of same colour.
A bag contains 6 white and 4 black balls .2 balls are drawn at random. find the probability that they are of same colour.
Answer: Option C
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let S be the sample space
Then n(S)=no of ways of drawing 2 balls out of (6+4)=10c2=(10*9)/(2*1)=45
Let E=event of getting both balls of same colour
Then n(E)=no of ways(2 balls out of six) or(2 balls out of 4)
=(6c2+4c2)=(6*5)/(2*1)+(4*3)/(2*1)=15+6=21
P(E)=n(E)/n(S)=21/45=7/15
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