A survey asks 228 people about the sports they enjoy. The three sports addressed in the survey are cricket, netball, and water polo. The results of the survey are as follows:
7 people 47 people 38 people 12 people 65 people 22 people 29 people 8 people
None of the sports
Cricket only
Netball only
Water polo only
Cricket and netball, but not water polo Cricket and water polo, but not netball Netball and water polo, but not cricket Cricket, netball, and water polo
2.
Show your calculations in answer the following questions. Please round your answers to the nearest three decimal places.
(a) What is the probability that a person enjoys cricket?
(b) What is the probability that a person enjoys netball or water polo but not cricket?
(c) What is the probability that a person enjoys water polo given that they do not enjoy netball?