Events $A$ and $B$ are independent. Suppose event $A$ occurs with probability 0.05 and event $B$ occurs with probability 0.70.
1.Compute the probability that $A$ occurs but $B$ does not occur.
2.Compute the probability that either $B$ occurs without $A$ occurring or $A$ and $B$ both occur.
now that the events are independent My answer for no.1= P(A)*P(B)=0.05*0.70=0.035
2.P(BUA')∩P(BUA)=(P(B)*P(A')) ∩ (P(B)*P(A))
=(0.70*0.95) ∩ (0.70*0.05) =0.665+0.035-(0.665*0.035) =0.676725
is it correct?