Consider the Venn diagram below. Each of the dots outside the circle represents a customer at a restaurant who was asked about their drink preferences. 9 customers were questioned.

 Consider the Venn diagram below. Each of the dots outside the circle represents a customer at a restaurant who was asked about their drink preferences. 9 customers were questioned.

Three of the customers are men, represented by red dots and labeled: M1,M2,M3;
Six of the customers are women, represented by blue dots and labeled: W1,W2,W3,W4,W5,W6.
The two events represented in the Venn diagram are:

Event A: The customer prefers to order a soda.
Event B: The customer prefers to order water.
Each of the men questioned said they prefer to order water, as did W1 and W4. The women who said they prefer to order soda were W2 and W6. All of the other customers questioned said they did not want soda or water.

Place the dots in the appropriate event given the information above (you may not use all of the dots), then determine if the events are mutually exclusive.

 

 

A and B are mutually exclusive. We say that two events are mutually exclusive if they share no outcomes, that is, P(A and B)=0. Here, A and B share no outcomes. Thus, P(A and B)=0 and the events are mutually exclusive. 

Thanks