Common Core HSS.MD.B.5 worksheet
High school · 16 questions · Common Core: HSS.MD.A.2, HSS.MD.B.5, HSS.MD.B.7 · England: A-level Statistics
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Question 1
A raffle ticket costs 3 points. There is a 0.05 chance of winning 25 points. What is the expected gain per ticket (prize value minus cost)? It may be negative.
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Question 2
It costs $3 to play. You roll a fair die and win $9 if you roll a 6. (Your stake is not returned.) What is the expected gain per game? Give the amount as a number; negative means a loss.
Answer
Question 3
A game pays 3 points with probability 0.25, 5 points with probability 0.25, 4 points with probability 0.5. What is the expected number of points?
Answer
Question 4
A charity game costs 4 to play. The chance of winning is 0.2 and the prize is 20 (the stake is kept). Is the game fair?
- A. Fair
- B. Favours the player
- C. Favours the organiser
Question 5
A raffle ticket costs 1 points. There is a 0.25 chance of winning 12 points. What is the expected gain per ticket (prize value minus cost)? It may be negative.
Answer
Question 6
It costs $1 to play. You roll a fair die and win $6 if you roll a 6. (Your stake is not returned.) What is the expected gain per game? Give the amount as a number; negative means a loss.
Answer
Question 7
A game pays 4 points with probability 0.5, 0 points with probability 0.3, 1 points with probability 0.2. What is the expected number of points?
Answer
Question 8
A charity game costs 5 to play. The chance of winning is 0.2 and the prize is 25 (the stake is kept). Is the game fair?
- A. Fair
- B. Favours the player
- C. Favours the organiser
Question 9
A raffle ticket costs 3 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.
Answer
Question 10
It costs $2 to play. You roll a fair die and win $6 if you roll a 5 or a 6. (Your stake is not returned.) What is the expected gain per game? Give the amount as a number; negative means a loss.
Answer
Question 11
A game pays 4 points with probability 0.1, 3 points with probability 0.4, 0 points with probability 0.5. What is the expected number of points?
Answer
Question 12
A charity game costs 5 to play. The chance of winning is 0.25 and the prize is 20 (the stake is kept). Is the game fair?
- A. Fair
- B. Favours the player
- C. Favours the organiser
Question 13
A raffle ticket costs 4 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.
Answer
Question 14
It costs $2 to play. You roll a fair die and win $3 if you roll a 5 or a 6. (Your stake is not returned.) What is the expected gain per game? Give the amount as a number; negative means a loss.
Answer
Question 15
A game pays 9 points with probability 0.5, 5 points with probability 0.3, 1 points with probability 0.2. What is the expected number of points?
Answer
Question 16
A charity game costs 1 to play. The chance of winning is 0.25 and the prize is 6 (the stake is kept). Is the game fair?
- A. Fair
- B. Favours the player
- C. Favours the organiser
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