A university has to select an examiner from a list of 50 persons. 20 of them are women and 30 are men; 10 of them knowing Hindi and 40 not; 15 of them being teachers and the remaining 35 not. What is the probability of the university selecting a Hindi-knowing women teacher?
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Probability to find a teacher = 15÷60= 1/4
Probability to find someone who know Hindi = 10÷50= 1/5
Probability to find a women = 20÷50= 2/5
Thus; probability that they will find women Hindi teacher = sum of all probabilities÷ no. of probabilities
= {1/4+1/5+2/5}÷3
= 17/20×1/3
= 17/60
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