In a dice game, you roll a fair die three times, independently. If you don’t roll...

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In a dice game, you roll a fair die three times, independently. If you don’t roll...

In a dice game, you roll a fair die three times, independently. If you don’t roll any sixes, you lose 1 dollar. If you roll a six exactly once, you win one dollar. If you roll a six exactly twice, you win two dollars. If you roll a six all three times, you win k dollars.

(A) Let k = 3. What is the expected value of the amount you would win by playing this game (rounded to the nearest cent)? Is this a fair game?

(B) For what value or values of k is this game fair?

math Statistics-And-Probability

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Answer 1

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2 216 544 216

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