Probability

Probability[pred, x \[Distributed] dist] gives the probability for an event that satisfies the predicate pred.

Examples

Probability x > 0 for normal:

Probability[x > 0, x \[Distributed] NormalDistribution[0, 1]]
(* 1/2 *)

Probability of range:

Probability[0 < x < 1, x \[Distributed] UniformDistribution[{0, 2}]]
(* 1/2 *)

Please visit the official Wolfram Language Reference for more details.