A hurling match is played between Team A and Team B - Junior Cycle Mathematics - Question 3 - 2013
Question 3
A hurling match is played between Team A and Team B.
A player on Team A, Fiachra, has the ball and attempts to score. The probability of Fiachra scoring a point is 0... show full transcript
Worked Solution & Example Answer:A hurling match is played between Team A and Team B - Junior Cycle Mathematics - Question 3 - 2013
Step 1
Is Fiachra more likely to score a point or a goal?
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Answer
Fiachra is more likely to score a point because his probability of scoring a point is 0.6, while the probability of scoring a goal is only 0.1.
Step 2
What is the probability that Fiachra will not score a point in this attempt?
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The probability that Fiachra will not score a point is calculated as follows:
1−0.6=0.4.
Step 3
Peadar is more likely to score than Fiachra. Give a reason why this is true.
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Peadar has higher probabilities for both attempting a point and a goal compared to Fiachra. Specifically:
Peadar: 0.7 for points and 0.2 for goals.
Fiachra: 0.6 for points and 0.1 for goals.
Hence, Peadar is more likely to score.
Step 4
Do you agree with the spectator?
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No, I do not agree with the spectator. While Peadar has higher probabilities for scoring, it does not guarantee he will always score more than Fiachra in any particular game.
Step 5
What is the probability that the goalkeeper will save the penalty based on his previous record?
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Answer
The probability that the goalkeeper will save the penalty is given by:
2012=0.6.
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