Consider the Venn diagram below. Each of the dots outside the circle represents a child that was tested for allergies. In this experiment, 8 children were tested for allergies. Five of the children tested were boys: represented by red dots and labeled: 1,2,3, 4, 5 (abbreviated B); Three of the children tested were girls: represented by blue dots: 1,2, 3 (abbreviated G). The two events represented in the Venn diagram are:

 Consider the Venn diagram below. Each of the dots outside the circle represents a child that was tested for allergies. In this experiment, 8 children were tested for allergies.  

Five of the children tested were boys: represented by red dots and labeled: 1,2,3, 4, 5 (abbreviated B);
Three of the children tested were girls: represented by blue dots: 1,2, 3 (abbreviated G).
The two events represented in the Venn diagram are:

Event A: The child tested is a boy.
Event B: The child tested has an allergy to peanuts.
All three girls tested were allergic to peanuts, but none of the boys tested were allergic to peanuts.

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