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).

1. 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)