Question

Player Goalie Goal Attempt Wayne Dominik Goal Mario Patrick Missed Wayne Dominik Missed Mario Patrick BlockedWayne Patrick Missed Mario Dominik Goal Wayne Patrick Goal Mario Dominik Blocked Mario Patrick Blocked Wayne Dominik Goal Consider the data above, which record the shots taken by various hockey players: 1. What is the probability of Wayne attempting a shot on goal? 2. What is the probability of a goal given that Wayne took the shot? 3. What is the probability that Dominik is the goalie given that the goal attempt was blocked?

Answer 1

The probability that Dominik is the goalie given that the goal attempt was blocked is 0.667 or 66.7%.

Explanation:

To find the probability of Wayne attempting a shot on goal, we need to count the number of times Wayne appears in the data and divide it by the total number of shots taken:

Number of shots attempted by Wayne: 4

Total number of shots: 10

Probability of Wayne attempting a shot on goal: 4/10 = 0.4 or 40%

Therefore, the probability of Wayne attempting a shot on goal is 0.4 or 40%.

To find the probability of a goal given that Wayne took the shot, we need to count the number of goals scored by Wayne and divide it by the total number of shots he attempted:

Number of goals scored by Wayne: 2

Number of shots attempted by Wayne: 4

Probability of a goal given that Wayne took the shot: 2/4 = 0.5 or 50%

Therefore, the probability of a goal given that Wayne took the shot is 0.5 or 50%.

To find the probability that Dominik is the goalie given that the goal attempt was blocked, we need to count the number of times Dominik appears as the goalie when a shot was blocked and divide it by the total number of blocked shots:

Number of blocked shots where Dominik was the goalie: 2

Total number of blocked shots: 3

Probability that Dominik is the goalie given that the goal attempt was blocked: 2/3 = 0.667 or 66.7%

Therefore, the probability that Dominik is the goalie given that the goal attempt was blocked is 0.667 or 66.7%.