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dontdisturbmycircles
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Homework Statement
A survey was done to determine whether a sports store should carry stock for skiers. The proportions of people who participate in skiing, skating and racquet sports are as follows.
skiing: 0.40
skating: 0.55
racket sports: 0.35
skiing and skating: 0.05
skiing and racket sports: 0.15
skating and racket sports: 0.15
all 3 sports: 0.05
What is the probability that a person chosen at random only participates at skiing
Homework Equations
The Attempt at a Solution
I want to say that it is
P(only skiing) = P(skiing) - P(skiing and skating) - P(skiing and racket sports)
, that would be all fine and dandy if people only played 2 sports, but then I have the all 3 option... does the "skiing and racquet sports" include people who play all three? I would find it hard to believe since all people whom ski and skate would NEED to also play racket sports in order for the all 3 sports to be true. But can that be ruled out?
I am basically just thinking as I post so if it doesn't make sense, excuse it please. :P
Argggggh! The probability of me going nuts is nearing 1 at this point. lol
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