Question

If you toss 3 dices, what is the chance to get at least one 3?

Answer 1

There is a total of 6^3=216 combinations if you roll 3 dice. There are 5^2x3=75 combinations that you will get one 3. Thus there is a 75/216=25/72 chance of getting only one 3 when rolling 3 dice.
There are 5x3 combinations that you will get 2 3s. Thus there is a 15/216=5/72 chance of getting a 2 3s when rolling 3 dice.
There is 1 combination where you will get 3 3s. Thus there is a 1/216 chance you will get 3 3s when rolling 3 dice.
There is a 75+15+1/216=91/216 chance of any of them happening.
This would mean there is a 91/216 chance of at least getting one 3

Answer 2

91/216.

Explanation:

You can calculate the probability of another event just by finding the total number of outcomes, in this case, 216, and counting how many results involve getting one or more 3. There are a total of 91 ways to get 3 in at least one of the three dice. Therefore, the probability is 91/216.