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if Alice and Finn roll two number cubes. Which of the following rules will make the game fair?

1Alice wins if a total of 5 is rolled. Finn wins if a total of 9 is rolled.
2Alice wins if a total of 7 is rolled. Finn wins if a total of 8 is rolled.
3Alice wins if a total of 3 is rolled. Finn wins if a total of 10 is rolled.
4Alice wins if a total of 4 is rolled. Finn wins if a total of 11 is rolled.

Respuesta :

Answer: Option A is correct.

Step-by-step explanation:

Since we have given that

Number of cubes Alice and Finn roll = 2

Sum of dices has outcome of  7 as the highest probability.

So,when, we move away from the probability gets equal.

Let A: Event of getting a total of 5.

Let B : Event of getting a total of 9.

So, [tex]A=\{(2,3),(3,2),(4,1),(1,4)\}[/tex]

And [tex]B=\{(5,4),(5,4),(6,3),(3,6)\}[/tex]

so, Probability of getting event A and B respectively.

[tex]P(A)=\frac{4}{36}=\frac{1}{9}\\\\and\\\\P(B)=\frac{4}{36}=\frac{1}{9}[/tex]

So, the game will make fair as both have equal possibility to win.

Hence, Option A is correct.

Answer:

Alice wins if a total of 5 is rolled. Finn wins if a total of 9 is rolled.

Step-by-step explanation:

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