Question

Let’s say that you have three dice that are different colors; one is blue, one is pink, and one is grey. Figure out the probability of each of the following outcomes, showing as much work as you can:

b) rolling a 3 or 4 on the pink die AND a 3 or 4 on the grey die on the same roll

Answer 1

Probability of rolling the these three die simultaneously is 1/3.

The probability of rolling a 3 on the pink die is 1/6 and the probability of rolling a 4 on the pink die is 1/6. So,

The probability that rolling a 3 or 4 on the pink die is 1/6 + 1/6 = 2/6

And

The probability of rolling a 3 on the grey die is 1/6 and the probability of rolling a 4 on the grey die is 1/6. So,

The probability that rolling a 3 or 4 on the grey die is 1/6 + 1/6 = 2/6

Finally

The probability that rolling a 3 or 4 on the pink die And a 3 or 4 on the grey die = (1/3) * (2/6) *(1/3)*(2/6) = 0.01235.