If you roll two fair six-sided dice, what is the probability that the dice show the same number?

Solution:

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

By rolling two fair six-sided dice.

We have to find the probability that the dice show the same number.

Total number of outcomes = 36

The favorable outcomes = {(1,1), (2,2), (3,3) (4,4), (5,5), (6,6)}

Number of favorable outcomes = 6

So the probability of event = favorable outcomes/total number of outcomes

Substituting the values

Probability of event = 6/36 = 1/6

Therefore, the probability that the dice show the same number is 1/6.

If you roll two fair six-sided dice, what is the probability that the dice show the same number?

Summary:

If you roll two fair six-sided dice, the probability that the dice show the same number is 1/6.