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Box A contains 2 black and 3 red balls, while box B contains 3 black and 4 red balls. Out of these two boxes one is selected at random, and the probability of choosing box A is double that of box B. If a red ball is drawn from the selected box then the probability that it has come from box B is
  • a)
    21/41
  • b)
    10/31
  • c)
    12/31
  • d)
    13/41
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
BoxAcontains 2 black and 3 red balls, while boxBcontains 3 black and 4...
Let P(B) = p according to given condition P(A) = 2P(B) = 2p
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BoxAcontains 2 black and 3 red balls, while boxBcontains 3 black and 4 red balls. Out of these two boxes one is selected at random, and the probability of choosing boxAis double that of boxB. If a red ball is drawn from the selected box then the probability that it has come from boxBisa)21/41b)10/31c)12/31d)13/41Correct answer is option 'B'. Can you explain this answer?
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