Answer
a) $0.4$
b) $0.6$
c) $0.6$
d) $1$
e) $0$
Work Step by Step
Note that the probability for each of the 5 outcomes is $\frac{1}{5} = 0.2$
a) A = {a, b} , so $P(A) = 0.2 + 0.2 = 0.4$
b) B = {c, d, e} , so $P(B) = 0.2 + 0.2 + 0.2 = 0.6$
c) $P(A') = 1 - P(A) = 1 - 0.4 - 0.6$
d) $A\cup B$ = {a, b, c, d, e} , so $P(A\cup B) = 0.2 + 0.2 + 0.2 + 0.2 + 0.2 = 1$
e) Since A and B have no outcomes in common , $A\cap B$ = $\emptyset$
That means that $P(A\cap B) = 0$
