Question

What is the probability that the sum of two number on two rolled dices will yield a $10$ or lower ?

• A. $\frac{1}{4}$.
• B. $\frac{7}{12}$.
• C. $\frac{5}{12}$.
• D. $\frac{11}{12}$.

Answer 1

The correct option is D $\frac{11}{12}$.

the sum of two number on two rolled dices will yield a 10 or lower

(1) red = 5, green = 6
(2) red = 6, green = 5
(3) red = 6, green = 6
There's only one way to get 12--that's when both the red die and the green die show a 6. There's only one way for that to happen, whereas in the case of 11, there are two different things each die is doing to get those two results.

$P\left(E\right)=\frac{11}{12}$