From its founding through 2012, the Hockey Hall of Fame has inducted 251 players. Table 11.5 shows number of players by place of birth and by position played. If a player is chosen at random from all player inductees into the Hockey Hall of Fame, let C represent the event of being born in Canada and D represent the event of being a defenseman. Write each of the following questions as a probability expression and find the probability.

Table 11.5

(a) What is the probability that an inductee chosen at random is Canadian?
(b) What is the probability that an inductee chosen at random is not a defenseman?
(c) What is the probability that a player chosen at random is a defenseman born in Canada?
(d) What is the probability that a player chosen at random is either born in Canada or a defenseman?
(e) What is the probability that a Canadian inductee plays defense?
(f) What is the probability that an inductee who plays defense is Canadian?

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Goal Total Offense Defense Canada 71 227 123 33 1 USA 2 10 11 Europe Other 3 3 Total 77 138 36 251