An experiment consists of rolling 2d6 until you get a sum of

An experiment consists of rolling 2d6 until you get a sum of six. Classify the random variable that denotes the number of rolls until a sum of six is attained. finite discrete infinite discrete finite continuous infinite continuous discrete continuous

Solution

Let X denotes the number of rolls until a sum of six is attained.

The possible values of X are 1,2,3,.....

Here the random variable is infinite discrete type.