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Mathematics, 03.05.2020 13:12 MeIsBella

In a board game, you roll a die to win or lose points, depending on the outcome. The outcomes follow this probability distribution.

Number 1 5 2,3,4,6
Probability 1/6 1/6 4/6
Points 4 6 -5
If a player can only win by accumulating 20 points, which of the following best describes the fairness of the game?

It's not a fair game because the weighted average is negative.
It's a fair game because you could win points.
It's a fair game because you gain more points if you roll a 5 than if you roll any of the negative outcomes.
It's not a fair game because the weighted average is positive.

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