# Probability that one random variable is greater than another

Suppose I have two random variables:

I can sample from this easy enough with RandomVariate[Var, 10] and calculate the probability that one of the distributions is greater than a constant, e.g. Probability[x <= .2, x \[Distributed] Var].

But how do I calculate $$P(Var>Control)$$. Many thanks!

Very similar:

Probability[
control < var, {control \[Distributed] BetaDistribution[24, 141],

1191614106688032995829016253297371 / 1700223091652404809206230640390474

(roughly 0.7)

Verify numerically: