The urn contains a white and b black balls. Two balls are taken out of the urn
| August 4, 2021 | education
The urn contains a white and b black balls. Two balls are taken out of the urn (simultaneously or sequentially). Find the probability that both balls will be white.
Let us find the probability of taking out the first ball by white (event A):
P (A) = a / (a + b)
Let us find the probability of taking out the second ball by white (event B):
P (B) = a-1 / ((a-1) + b)
Event C – both balls are white, then:
P (C) = a * (a-1) / ((a-1) + b) * (a + b)
Answer: The probability that both balls will be white is: P (C) = a * (a-1) / ((a-1) + b) * (a + b)
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