The following five games are scheduled to be played at the World Curling Champio

Question

The following five games are scheduled to be played at the World Curling Championships one morning. The values in parentheses are the probabilities of each team winning their respective game. The outcome of interest is the set of winners for each of the five games. How many outcomes are contained in the sample space? (A) 5 (B) 10 (C) 26 (D) 32 (E) 64 In a sports game, the "favourite" is the team with the higher probability of winning and the "underdog" is the team who is less likely to win. What is the probability that at least one underdog wins their game? (A) 0.93 (B) 0.74 (C) 0.80 (D) 0.67 (E) 0.59

Explanation / Answer

3) probability that at least one underdog win their games = 1 - Probability that none of the underdogs win any game

= 1 - Probability that all games are won by favourites

= 1 - 0.57*0.72*0.89*0.67*0.82

=0.799328

hence option C) 0.8 is correct

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