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