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 atleast one of the selected persons will be a woman, is

Q: 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 atleast one of the selected persons will be a woman, is

Total ways = 13c2 Favourable number ways of selecting men only = 8c2 ∴ Probability of selecting no woman = 8c2 / 13c2 = 14/39 ∴ Probability of selecting at least one woman = 1 - (14 / 39) = 25 / 39

25/39
14/35
5/13
10/13

Correct Answer: 25/39

Explanation:

Total ways = ¹³c₂
Favourable number ways of selecting men only = ⁸c₂
∴ Probability of selecting no woman
= ⁸c₂ / ¹³c₂
= 14/39
∴ Probability of selecting at least one woman
= 1 - (14 / 39)
= 25 / 39

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