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A game involves rolling a fair six-sided die. The player wins £10 if the die shows a 6, wins £5 if it shows a 4 or 5, and wins nothing otherwise.
Description
Game Winnings
Possible winnings and their probabilities based on a fair six-sided die:
| Winnings (£) | Probability |
|---|---|
| 10 | 1/6 |
| 5 | 2/6 |
| 0 | 3/6 |
- a[3]
Calculate the expected winnings from playing the game once.
Aim for approximately 3 distinct marking points.
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