Question

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

Answer 1

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, $A=\{(2,3),(3,2),(4,1),(1,4)\}$

And $B=\{(5,4),(5,4),(6,3),(3,6)\}$

so, Probability of getting event A and B respectively.

$P(A)=\frac{4}{36}=\frac{1}{9}\\\\and\\\\P(B)=\frac{4}{36}=\frac{1}{9}$

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

Hence, Option A is correct.