Statistics And Probability Question 240
Question: Out of 13 applicants for a job, there are 5 women and 8 men. It is desired to select 2 persons for the job. The probability that at least one of the selected persons will be a woman is
[ISM Dhanbad 1994]
Options:
A) $ \frac{25}{39} $
B) $ \frac{14}{39} $
C) $ \frac{5}{13} $
D) $ \frac{10}{13} $
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Answer:
Correct Answer: A
Solution:
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Required probability $ =\frac{{}^{5}C_1\times {}^{8}C_1}{{}^{13}C_2}+\frac{{}^{5}C_2}{{}^{13}C_2}=\frac{25}{39}. $
BETA
