You roll a 6-sided die twice. what is the probability of getting a 1 on the first roll or a 6 on the second roll?

The probability of getting a 1 on the first roll is 1/6.

The probability of getting a 6 on the second roll is also 1/6.

Find the probability of getting a 1 on the first roll

There is one side having a 1, and there is a total of six sides.

P₁ = number of event/number of samples

P₁ = 1/6

Find the probability of getting a 6 on the second roll

There is one side having a 6, and there is a total of six sides.

P₂ = number of event/number of samples

P₂ = 1/6

Find the probability of getting a 1 on the first roll and a 6 on the second roll.

The keyword is the word "and", that means we join the two probabilities by multiplication. If the keyword is the word "or", we join them by addition.

P = P₁ * P₂

P = 1/6 * 1/6

P = 1/36