A bag contains 6 white & 4 black balls. Two balls are drawn at random. The probability that are of the same colour is
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Step-by-step explanation:
one can select 2 white or 2 black balls in which cases they will be of the same color.
There are 6 white + 4 black balls = 10 balls.
so, in 10c2 ways, 2 balls can be selected from the 10 balls.
number of selecting 2 white ball =6c2.
therefore, the probability of selecting 2 white balls = 6c2/10c2.
number of ways of selecting 2 blacks balls=4c2.
therefore, the probability of of selecting 2 black balls = 4c2/ 10c2 .
therefore, the probability of selecting two balls of same color = (6c2+4c2)/10c2.
=(15+6)/45
= 21/45
= 7/15.
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