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In a class, 40% students study Mathematics, 25% study Chemistry and 15% study both the subjects. A student is chosen at random. The probability that he studies Mathematics, if it is known that he studies Chemistry, is
  • a)
    1/8
  • b)
    3/8
  • c)
    2/5
  • d)
    3/5
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
In a class, 40% students study Mathematics, 25% study Chemistry and 15...
Given,
P(M) = 40/100 = 2/5
P(C) = 25/100 = 1/4
P(M ∩ C) = 15/100 = 3/20
P(M/C) = P(M ∩ C)/P(C) = {3/20}/{1/4} = 3/5
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