Show the formula used to answer each of the following 22 Eve

Show the formula used to answer each of the following. 22) Event A and Event B are Mutually Exclusive. If P(A): 0.3 and P(B) 0.4, what is P(A or B)? 23) Event A and Event B are NOT Mutually Exclusive. If P(A) o 3, P(B) o 4, P(A and B) z 0.1, what is POA or B)? 24) Event A and Event Bare Independent events. IFP(A) 0.3, P(B) 0.4, what is P(A and B)? 25) vent A and Event B are NOT Independent events. IF POA) o.3,POB):0.4, P(BA) 0.2 what is P(A and B)?

Solution

22) P(A or B)=P(A)+P(B)=0.3+0.4=0.7

23) P(A or B)=PA)+P(B)-P(A and B)=0.3+0.1-0.1=0.3

24) P(A and B)=P(A)*P(B)=0.3*0.4=0.12

25) P(A and B)=P(B/A)*P(A)=0.2*0.4=0.08