Shikhar has a bag with 2 balls, each of which can be black or white with equal probability. Now, he draws out a ball and it turns out to be black. After this event, what is the probability that both balls are black? Op 1:
Answers
the probability that both balls are black is 1/2
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Answer:
The probability that both the balls are black is 1/2 or 0.5
Step-by-step explanation:
1) Shikhar has a bag with 2 balls and each of which can be black or white with equal probability.
It implies that the probability of each ball being white or being black is 1/2.
Favourable outcome= 1 (ball being black or white)
Total outcome = 2 ( both black and white)
2) He draws out a ball and it turns out to be black. So the first ball is confirmed black.
3) Now, what is the probability that both balls are black.
The first ball is confirmed black and the probability of each ball being black or being white is 1/2.
So this implies that the probability of second ball being black is 1/2
The probability of both the balls being black depends on the second ball only as the first ball is confirmed black.
So the probability that both the balls are black is 1/2 or 0.5