The probability of a student studying science given he/she is already studying math exists 2/3.
Probability distribution exists a part of a discrete variable whose integral over any interval exists the probability that the random variable determined by it will lie within that interval.
A probability distribution exists as a statistical function that defines all the possible values and likelihoods that a random variable can assume within a provided range.
Probability of Math's and Science students = 40/100
= 2/5
Probability of Math's students = 60/100 = 3/5
P(Science/Math's) = P(S∩M)/P(M)
= (2/5) / (3/5) = 2/3
The probability of a student studying science given he/she is already studying math exists 2/3.
Therefore the correct answer is 2/3.
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