Consider the following three Olympic events: Ski Jumping, Snowboarding and Speed skating.
Suppose we have the following information about how many Canadians were watching these events:
52% watched Ski Jumping (SK)
45% watched Snowboarding (SB)
64.96% watched Ski Jumping or Speed Skating (SS)
58.42% watched Snowboarding or Speed Skating
35.74% watched Ski Jumping and Snowboarding
14.04% watched Ski Jumping and Speed Skating
8.49% watched all three events.
We will randomly select one Canadian.
(a) The outcome of interest is which (if any) of the three events did the person watch. How many outcomes are contained in the appropriate sample space?
(b) What is the probability that the selected person watched Ski Jumping or Snowboarding?
(c) What is the probability that the selected person watched Speed Skating?
(g) Without doing any calculations, what is the probability that someone who watched Speed Skating also watched Ski Jumping?
(h) What is the probability that the selected person watched Ski Jumping but not Snowboarding?
(i) What is the probaiblity that the selected person watched Ski Jumping if we know they didn't watch Snowboarding?
(j) What is the probability that the selected person watched Speed Skating if we know they watched Ski Jumping and Snowboarding?
(k) What is the probability that the selected person didn't watch any of the three events?