# Experimental Outcomes

Suppose that we have a sample space with 5 equally likely experimental outcomes: E1, E2,E3,E4,E5. Let A={E1, E2,E3}, B={E2, E4}, C={E3,E4,E5}

a. find P(A), P(B), P(C)

b. find P(A intersection B) Are A and B mutually exclusive

c. Find P(CC) and P(AUC)

https://brainmass.com/statistics/probability/experimental-outcomes-probability-122592

#### Solution Preview

a) P(A)=P(E1)+P(E2)+P(E3)=1/5+1/5+1/5=3/5

P(B)=P(E2)+P(E4)=1/5+1/5=2/5

P(C)=P(E3)+P(E4)+P(E5)=1/5+1/5+1/5=3/5

b) As A ...

#### Solution Summary

Suppose that we have a sample space with 5 equally likely experimental outcomes: E1, E2,E3,E4,E5. Let A={E1, E2,E3}, B={E2, E4}, C={E3,E4,E5}

a. find P(A), P(B), P(C)

b. find P(A intersection B) Are A and B mutually exclusive

c. Find P(CC) and P(AUC)

$2.19