A sample space consists of 9 elementary outcomes E1,E2,E3, ...,E9 whose probabilities are:
P(E1) = P(E2) = 0.06; P(E3) = P(E4) = P(E5)=0.1;
P(E6) = P(E7) = 0.2; P(E8)=P(E9)= 0.09
Let
A={E1,E5, E8}; B= {E2,E5,E8,E9}
a) Calculate P(A), P(B) and P(AB)
b) Calculate P(A B)
c) List the composition of the event A B and calculate P(A B)