math probability

Question

You roll a fair six-sided die twice. Find the probability of rolling a 1 the first time and a number greater than 2 the second time.

Answer 1

Probability of a two step process.

The first step is getting a 1. Since the die has six face, the probability of a 1 is 1/6.

The second step is getting a number greater than 2. There are four possibilities so the probability is 4/6.

The probability of getting the two events in order is the product of the two probabilities.

Answer 2

The probabilities of the rolls are independent. P of both happening is P₁P₂

P of rolling a 1 is 1/6 and the probability of rolling more than a 2 is 4/ 6

where we get P from N of what you are looking for/ N possibilities.