What is the probability of rolling a 3 then a 5 on two dice?

The probability of rolling a 3 then a 5 on two dice is 1/36.

To understand this, let's break it down. When you roll a single six-sided die, each face (number) has an equal chance of landing face up. This means the probability of rolling any specific number, such as a 3, is 1/6. Similarly, the probability of rolling a 5 on a single die is also 1/6.

When dealing with two independent events, like rolling two dice one after the other, you multiply the probabilities of each event happening. So, the probability of rolling a 3 on the first die is 1/6, and the probability of rolling a 5 on the second die is also 1/6. To find the combined probability of both these events happening in sequence, you multiply these probabilities together: (1/6) * (1/6) = 1/36.

This means there is a 1 in 36 chance of rolling a 3 on the first die and a 5 on the second die. This is because there are 6 possible outcomes for the first roll and 6 possible outcomes for the second roll, making a total of 6 * 6 = 36 possible outcomes when rolling two dice. Only one of these outcomes is the specific sequence of rolling a 3 followed by a 5.