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Sagot :
The probability both balls are black, given that the first one is black, is gotten as; ⁵/₁₂
What is the probability of Selection?
By using the probability of an event formula,
There are 5 black balls out of a total of 12 balls, so the probability of obtaining a black on a single draw is ⁵/₁₂, and the probability of obtaining a white is ⁷/₁₂
Since the balls are drawn with replacement, the two draws are independent events.
Use Multiplication and Union Rules to obtain the following probability:
P(F) = P(B, B) + P(B, W)
P(F) = (⁵/₁₂ * ⁵/₁₂) + (⁵/₁₂ * ⁷/₁₂)
P(F) = ⁵/₁₂
Thus, the probability both balls are black, given that the first one is black, is ⁵/₁₂
Read more about probability of event at; https://brainly.com/question/7965468
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