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Use the following scenario to answer questions 2-8. A soccer goalie has a diffic

ID: 3221167 • Letter: U

Question

Use the following scenario to answer questions 2-8. A soccer goalie has a difficult task of determining where the opposing player will kick the ball, and this is very difficult In penalty kick shtuations. Consider the case of a penalty kicksituation where the opposing player kicks the ball to the right or left, and either high or low. The probabilities are represented in the chart below. Right Low 0.28 High 0.27 0.9 Left 0.3 Low 2. What is the chance the player will kick the ball high and to the right? a. 0.7 b. 0.4 C. 0,42 d. 0.6

Explanation / Answer

Probability of goalie kicks the ball right and high = 0.7*0.6= 0.42

Probability of goalie kicks the ball right and low = 0.28

Probability of goalie kicks the ball left and high = 0.3*0.9 =0.27

Probability of goalie kicks the ball left and low = 0.3*0.1= 0.03

2) probability of goalie kicks high and right = 0.42(c)

3) probability of goalie kicks low and left = 0.03 (b)

4) given ball kick to left, chance of ball kicked low = 0.1(d)

5) of all chances, Right and High (a) has maximum probability of 0.42

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