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When there is a finite number of outcomes, each of which is equally likely, we can just count up the possibilities

So let’s take a standard six-sided die (denoted “d6”), which randomly generates a number between 1 and 6, each with an equal chance.

Q: What’s the probability that we get a 1?

A: P(D=1) = \frac{1}{6}

Q: What’s the probability that we roll a prime number?

A: P(D \in [2, 3, 5]) = \frac{3}{6}  = \frac{1}{2}

Q: What’s the probability that when we roll 2 d6s and add up the results, we get 7?

A: P(\sum{(D_1, D_2)}) = (\frac{1}{6})^2 \times 6 = \frac{1}{6}

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