Question

If I roll 5 dice, what are the odds of getting AT LEAST 3 even numbers?

If its not too much trouble I'd love to know how you arrived at the answer, thanks.

Answer 1

Conditions

If I roll 5 dice, what are the odds of getting AT LEAST 3 even numbers?

If its not too much trouble I'd love to know how you arrived at the answer, thanks.

Solution

As we know, the standard dice have 3 even and 3 odd numbers.

Let's calculate how many favorable outcomes for our event: It's all possible variants of taking 3 or 4 or 5 dice with one of 3 lucky positions:

3 - 3 - 3 - 6 - 6

And the all possible outcomes are:

6 - 6 - 6 - 6 - 6

The probability is the rate of favorable and all outcomes:

$$P = \frac {3 \cdot 3 \cdot 3 \cdot 6 \cdot 6}{6 \cdot 6 \cdot 6 \cdot 6 \cdot 6} = \frac {1}{8}$$