7. A hotelier conducted a survey of guests staying at her hotel. The table shows some of the results of her survey.
Type of gues
Probability
Man
0.7
Woman
0.3
American man
0.2
American woman
0.05
Vegetarian
0.3
Married
0.6
a. A guest was chosen at random. From the table work out these probabilities:
i The guest was American
The guest was unmarried
The guest was not a vegetarian
b. Explain why it is not possible to work out from the table the probability of a
guest being a married vegetarian
c. From the table, give two examples of pairs of types of guest that would form a
pair of mutually exclusive events.
d. From the table, give one example of a pair of types of guest that would form a
pair of exhaustive events.