Question

Two dice are rolled at once. What is the probability of getting "1 on one dice and 5 on the other dice" on the first chance and getting "5 on one dice and 2 on the other dice" on the second chance?

• A. $\frac{1}{18}$
• B. $\frac{1}{6}$
• C. $\frac{1}{36}$
• D. $\frac{1}{9}$

Answer 1

The correct option is A $\frac{1}{18}$

If two dice are rolled, the number of outcomes will be as follows:

Total number of possible outcomes is 36.

Choosing the two chances given, we see:


Number of favorable outcomes = 2.

So, probability of getting "1 on one dice and 5 on the other dice" in the first chance and getting "5 on one dice and 2 on the other dice" in the second chance is
$=\frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$

$=\frac{2}{36}=\frac{1}{18}$