Given that the event A and B ar esuch that P(A)=12P(A∪B)=35 and P(B)=p. Find p, if they are
independent
When A and B are independent events, then
P(A∩B)=P(A).P(B)=12P (∵P(A)=12P(B)=Pgiven)Now,P(A∩B)=P(A)P(B)=12P⇒35=12+p−12p⇒35−12=2p−p26−510⇒P=210=15