when Alex Ovechkin shoots penalty shots in hockey, he shoots to the left of the

Question

when Alex Ovechkin shoots penalty shots in hockey, he shoots to the left of the goalie 40% of the time, to the right of the goalie 40% of the time, and between the goalie's legs 20% of the time. whenever he aims to the left, he scores 50% of the time. When he aims right, he scores 30% of the time. And when he aims between the goalie's legs, he scores 70% of the time. (a) How likely is he to score on any given penalty shot? (b) How many of his goals scored on penalty shots were scored to the left, to the right and between 4, the goalie's legs, respectively?

Explanation / Answer

a) P( Score) = 0.40*0.50 +0.40*0.30 + 0.20*0.70= 0.46

P(Left/Score)=0.40*0.50/0.46=20/46

P(right/score) = 12/46

P( Between legs)=14/46

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