Question

The team of waiters in a restaurant is made up of 8 men and 7 women. The lunch service is provided by 8 employees and the evening service by 10 employees. Only one female employee works midday and evening and 5 men work in the evening only.A) Represent this situation using a Venn diagramB) What is the probability that an employee chosen at random is a woman who only works in the evenings.C) What is the probability that an employee chosen at random will work midday and evening?D) What is the probability that an employee chosen at random will only work at noon?

Answer 1

Given:

Restauurant is made up of 8 men and 7women.

Lunch service is provided by 8 employees and evening service by 10 employees.

Let M and E be the midday and Evening.

Let f and m be the female and male.

A)

B)

No of employees for evening service is 10.

5 men is fixed to work in evening service.

Let B be the event of employee chosen is a woman who only works in the evening.

`P(B)=(5)/(6)`