human
How can I calculate the probability of rolling a 3 and a 5 with two six-sided dice?
gpt
To calculate the probability of rolling a specific combination with two six-sided dice, you'll need to determine the total number of possible outcomes and the number of favorable outcomes. In this case, you want to calculate the probability of rolling a 3 and a 5.

There are 6 faces on each die, so there are 6 x 6 = 36 possible outcomes when rolling two six-sided dice. Each die can show a value from 1 to 6.

Now, let's look at the favorable outcomes. There are two ways to get a 3 and a 5:

1. Die 1 rolls a 3, and Die 2 rolls a 5.
2. Die 1 rolls a 5, and Die 2 rolls a 3.

There are 2 favorable outcomes.

To calculate the probability of rolling a 3 and a 5, divide the number of favorable outcomes by the total number of possible outcomes:

Probability = (Number of favorable outcomes) / (Total number of possible outcomes)
Probability = 2 / 36

Simplify the fraction:

Probability = 1 / 18

So, the probability of rolling a 3 and a 5 with two six-sided dice is 1/18 or approximately 5.56%.