Ten balls are in an urn: 7 red balls and 3 white balls. Two balls will be select

Question

Ten balls are in an urn: 7 red balls and 3 white balls. Two balls will be selected sequentially from the urn. Let A be the event that the first ball selected is a white ball. Let B be the event that the second ball selected is a white ball. Which of the following equations shows the probability equation that will determine the probability that on the second ball selected is white? P(B) = P(B)P(A) + P(B)P(A’) P(B) = P(B|A)P(A) + P(B|A’)P(A’) P(B) = P(B|A)P(B) + P(B|A’)P(B) P(B) = P(B|A) + P(B|A’)

Explanation / Answer

Answer: The  probability equation that will determine the probability that on the second ball selected is white is

P(B) = P(B|A) P(A) + P(B|A’) P(A’)

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