Let G and H be disjoint events in some sample space The pro

Let G and H be disjoint events in some sample space . The probability that G occurs is P(G) and H occurs is P(H).

a. Describe the event G U H.

b. What is P(G U H) in terms of P(G) and P(H)?

c. Describe the event G intersection H.

d. What is the probability of the event G intersection H?

Solution

G U H can be denoted by G +H as G and H are disjoint events P(G U H) = P(G) + P(H) G H ={ € S : € G and € H} P(G H) = (null set)