GATE Mechanical Engineering (ME) 2020 Shift 1 Solved Paper

Question : 31 of 65

Marks: +1, -0

A company is hiring to fill four managerial vacancies. The candidates are five men and three women. If every candidate is equally likely to be chosen then the probability that at least one woman will be selected is __________ (round off to 2 decimal places).

Your Answer:

Validate

Solution:

{m}(

number of men

)=5

n

(number of woman)

=3

number of vacancy

=4

Probability that at least one woman is selected

=1

- probability that no woman is selected

\;\; =1-\;{{ }^{5} {C}_{4}}/{{ }^{8} {C}_{4}}

= \;\; 1-\;{5}/{70}

= \;\; 0.928

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