need help Please show work please Suppose that E and F are d

need help!! Please show work please.

Suppose that E and F are disjoint events, P(E)=0.2, and P(F)=0.2. Find the following probabilities.

(a) P(E?F)=

(b) P(E|F)=

(c) P(E?F)=

Solution

a)

P(E and F) = 0 , since the events are disjoint

b)

P(E|F) = P(E) = 0.2

c)

P(E or F) = P(E) + P(F) = 0.2 + 0.2 = 0.4