Question

55% of college freshmen are women. If you pick 4 freshmen at random. What's the probability they are all males?

Answer 1

probability they are all males is 0.041

Step-by-step explanation:

Here we have , 55% of college freshmen are women. If you pick 4 freshmen at random . We need to find What's the probability they are all males . Let's find out:

Probability to have women is 55 % i.e. 0.55 so for men is :

⇒ $1-0.55$

⇒ $0.45$

Now , 4 persons are randomly chosen and we need to find probability to have all 4 males that will be :

⇒ $0.45(0.45)(0.45)(0.45)$

⇒ $0.45^4$

⇒ $0.041$

Therefore ,  probability they are all males is 0.041