Expected value
12th grade (Year 13 in England) · 16 questions · Common Core: HSS.MD.A.2, HSS.MD.B.5
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Question 1
A raffle ticket costs 5 points. There is a 0.05 chance of winning 24 points. What is the expected gain per ticket (prize value minus cost)? It may be negative.
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Question 2
A game pays 7 points with probability 0.1, 10 points with probability 0.4, 8 points with probability 0.5. What is the expected number of points?
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Question 3
A raffle ticket costs 5 points. There is a 0.2 chance of winning 11 points. What is the expected gain per ticket (prize value minus cost)? It may be negative.
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Question 4
A game pays 10 points with probability 0.1, 8 points with probability 0.4, 0 points with probability 0.5. What is the expected number of points?
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Question 5
A raffle ticket costs 3 points. There is a 0.05 chance of winning 14 points. What is the expected gain per ticket (prize value minus cost)? It may be negative.
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Question 6
A game pays 3 points with probability 0.1, 0 points with probability 0.4, 10 points with probability 0.5. What is the expected number of points?
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Question 7
A raffle ticket costs 2 points. There is a 0.1 chance of winning 13 points. What is the expected gain per ticket (prize value minus cost)? It may be negative.
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Question 8
A game pays 8 points with probability 0.1, 7 points with probability 0.4, 3 points with probability 0.5. What is the expected number of points?
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Question 9
A raffle ticket costs 4 points. There is a 0.25 chance of winning 20 points. What is the expected gain per ticket (prize value minus cost)? It may be negative.
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Question 10
A game pays 4 points with probability 0.1, 2 points with probability 0.4, 6 points with probability 0.5. What is the expected number of points?
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Question 11
A raffle ticket costs 1 points. There is a 0.25 chance of winning 17 points. What is the expected gain per ticket (prize value minus cost)? It may be negative.
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Question 12
A game pays 6 points with probability 0.25, 3 points with probability 0.25, 0 points with probability 0.5. What is the expected number of points?
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Question 13
A raffle ticket costs 4 points. There is a 0.1 chance of winning 23 points. What is the expected gain per ticket (prize value minus cost)? It may be negative.
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Question 14
A game pays 2 points with probability 0.1, 5 points with probability 0.4, 6 points with probability 0.5. What is the expected number of points?
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Question 15
A raffle ticket costs 4 points. There is a 0.2 chance of winning 29 points. What is the expected gain per ticket (prize value minus cost)? It may be negative.
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Question 16
A game pays 1 points with probability 0.25, 6 points with probability 0.25, 8 points with probability 0.5. What is the expected number of points?
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