Question

Pranav O Keerthi 15 applicants are applying for a job in a company. There are 9 women and 6 men. Two persons are to be selected for the job. What is the probability that at least one of the selected persons will be a man? O 23/35 O None of the options 0 24/35 o 23/37 ​

Answer 1

Answer:

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 .

Explanation:

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Answer 2

Given,

15 people are looking for jobs at a firm, including 9 women and 6 males.

The role will be filled by two people.

To find,

The probability that at least one of the selected individuals will be a man.

Solution,

The probability that at least one of the chosen individuals will be a guy is $\frac{23}{35}$.

We may easily answer this mathematical issue by following the steps below.

As we know,

Probability is the ratio of possible events to total outcomes.

Thus,

Total outcomes = ¹⁵C₂ = 105

Now,

Now, two candidates must be chosen, with at least one guy among them.

Thus,

Possibilities = one man + one woman, two men.

Favorable outcomes = ⁹C₁ x ⁶C₁ + ⁶C₂

                                   = 9 x 6 + 15

                                   = 69

Thus,

Probability = $\frac{69}{105}$

                  = $\frac{23}{35}$

As a result, the probability that at least one of the selected persons will be a man is $\frac{23}{35}$. (Option A)