Counting Outcomes That Map to the Same Value — easy Random Variables problem | Incognition

Counting Outcomes That Map to the Same Value

Random VariablesEasy+10 XP+10

Counting Outcomes That Map to the Same Value

Two fair six-sided dice — one red, one blue — are rolled together. All $36$ ordered outcomes $(a, b)$ are equally likely, where $a$ is the red die and $b$ is the blue die.

Define the random variable
$X = |a - b|$

so $X$ is the size of the gap between the two faces.

What is $P(X = 1)$ ?

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