Question

A meeting has 12 employees. Given that 8 of the employees is a woman, find the probability that all the employees are women?​

Answer 1

Step-by-step explanation:

assume that the probability of an employee being a man or women is 1/2 by using bayes theorem;let B the event that the meeting has 3employees who is a women and let A be the event that all

employees are women. we want to find.

P(A/B)=P(B/A*P(A)

/p(B)

P(B/A)=1, P(A)=1/12

and P(B)=8/12

so, P(A/B)=8/12=2/3

Answer 2

Given,

Number of employees in a meeting = 12

Number of women employees = 8

To find,

Probability that all the employees are women.

Solution,

Let's look into the formula of probability,

Probability(Event) = favorable outcomes/ total outcomes

Here, the event is selecting an employee who is a woman.

Probability = Total number of women employees/ Total number of employees

Total number of women employees = 8

Total number of employees = 12

Probability = $\frac{8}{12}$

= $\frac{2}{3}$

Hence, probability that all the employees are women is $\frac{2}{3}$.