Expected value

Question 1

A raffle ticket costs 1 points. There is a 0.25 chance of winning 30 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 3 points with probability 0.1, 10 points with probability 0.4, 4 points with probability 0.5. What is the expected number of points?

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Question 3

A raffle ticket costs 3 points. There is a 0.05 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 4

A game pays 6 points with probability 0.5, 4 points with probability 0.3, 8 points with probability 0.2. What is the expected number of points?

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Question 5

A raffle ticket costs 3 points. There is a 0.2 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 6

A game pays 8 points with probability 0.25, 1 points with probability 0.25, 0 points with probability 0.5. What is the expected number of points?

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Question 7

A raffle ticket costs 3 points. There is a 0.25 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 8

A game pays 9 points with probability 0.1, 1 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 0.1 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 10

A game pays 1 points with probability 0.5, 5 points with probability 0.3, 0 points with probability 0.2. What is the expected number of points?

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Question 11

A raffle ticket costs 5 points. There is a 0.1 chance of winning 27 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 4 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 13

A raffle ticket costs 5 points. There is a 0.05 chance of winning 18 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 9 points with probability 0.2, 1 points with probability 0.2, 5 points with probability 0.6. What is the expected number of points?

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Question 15

A raffle ticket costs 5 points. There is a 0.05 chance of winning 7 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 4 points with probability 0.1, 7 points with probability 0.4, 2 points with probability 0.5. What is the expected number of points?

Answer