A committee of 3 people is to be randomly selected from a group of 5 women and 8 men. What is the probability that the committee will only consist of women?

Question

anonymous · Answer

3/13

kropot72 · Answer

The probability of selecting a woman on the first selection is 5/13.
The probability of selecting a woman on the second selection is 4/12.
The probability of selecting a woman on the third selection is 3/11.
Therefore the probability that the committee will only consist of women is given by:
$$\large P(3\ women)=\frac{5\times4\times3}{13\times12\times11}=you\ can\ calculate$$

anonymous · Answer

I guess this way is not correct

anonymous · Answer

I didnt wanted to offend you but i think

kropot72 · Answer

@sumanta The method used in my post is based on sampling without replacement. I suggest that you study 'sampling without replacement'.