GATE ME 2014 Set 3 — Question 14
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Engineering Mathematics → Probability → Conditional Probability
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Question
A group consists of equal number of men and women. Of this group 20% of the men and 50% of the women are unemployed. If a person is selected at random from this group, the probability of the selected person being employed is _______
Correct answer
0.64 to 0.66
Solution
Let the total number of people in the group be .
Since there are an equal number of men and women:
Number of men () =
Number of women () = Given unemployment rates:
Unemployed men = of
Unemployed women = of Therefore, the number of employed individuals is:
Employed men =
Employed women =
Total employed = The probability that a randomly selected person is employed is:
Since there are an equal number of men and women:
Number of men () =
Number of women () = Given unemployment rates:
Unemployed men = of
Unemployed women = of Therefore, the number of employed individuals is:
Employed men =
Employed women =
Total employed = The probability that a randomly selected person is employed is:
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