There are 4 women and 4 men sitting in a waiting room for job. If two of the applicants are selected at random, what is the probability that both will be women?

There are 4 women and 4 men sitting in a waiting room for job. If two of the applicants are selected at random, what is the probability that both will be women? ?

Created: 1 year ago | Updated: 1 week ago | Created By:

Md Kamal Uddin

1/2

3/7

3/4

3/14

0 16

Institution: DHAKA BANK LTD Exam: Dhaka Bank Ltd - Management Trainee Officer - 17.06.2016 ||
Topic: Mathematics (সাধারণ গণিত) Subject: Mathematics (সাধারণ গণিত)

Best Answer Explained in Below-:

The answer is 3/14.

Here's why:

We need to consider two selections.
For the first selection, there are 4 women out of 8 total applicants (4/8).
After the first woman is chosen, there are only 7 applicants remaining.
There are also 3 women remaining after one woman is chosen (4 total - 1 chosen).
The probability of choosing a second woman after selecting one woman already is 3/7.
To get the overall probability, we multiply the probability of the first event (choosing a woman) with the probability of the second event (choosing another woman after one is chosen): (4/8) * (3/7).
Simplifying the fraction, we get 3/14.

Therefore, the probability of selecting two women randomly is 3/14.

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There are 4 women and 4 men sitting in a waiting room for job. If two of the applicants are selected at random, what is the probability that both will be women? ?

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