Out of 13 applicants for a job, there are 5 women and 8

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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

1. 25/39
2. 14/35
3. 5/13
4. 10/13
5. None of the above

Correct Option: A

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