Question

if two different people are randomly selected from the 954 subjects find the probability that they are both woman. round four decimal places

Answer 1

Let us assume we have x women amongst 954 subjects.

The probability of selecting first woman = > x / 954

once 1 woman is already selected no. of women left = > x -1

The probability of selecting second woman = > (x -1) / 954

Probability of selecting both the woman = > x * ( x-1 ) / 954²

= >  ( x² - x ) / 910116

PS : I think some data is missing here , you just have to plug the value of "x " in the above equation

where x = Total number of woman in the group of 954

Lets say total woman => 100

x = 100

Probability of selecting both the woman = >  ( 100² - 100 ) / 910116

= 9900 / 910116