The cross-tabulation table below shows partial results from a study done at the Mt. Bachelor ski area. Patrons were asked whether they preferred snowboarding or skiing.
Snowboarding Skiing
Under 25 68 32
25 to 40 42 33
Over 40 25 50
12. If a person is randomly selected from the study and the person selected prefers snowboarding, how likely is it that the person selected is 25 to 40 years old?
a. .420
b. .311
c. .566
d. .348
e. .664
13. If a person is randomly selected from the study and the person selected is over 40 years of age, how likely is it that the person selected prefers skiing?
a. .420
b. .311
c. .667
d. .125
e. .727
14. If a person is randomly selected from the study, how likely is it that the person selected is under 25 years old and prefers skiing?
a. .420
b. .272
c. .680
d. .128
e. .116