Compute the probability of the normal distribution.
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X := RandomVariable(Normal(0, 1)):

${\mathrm{erf}}{}\left(\frac{\sqrt{{2}}}{{2}}\right)$
 (1) 
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Probability(X^2 < 1, 'numeric');

${0.682689492137086}$
 (2) 
Compute the probability that the product of 3 independent random variables uniformly distributed on between 0 and 1 is less than t.
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X := [seq(RandomVariable(Uniform(0, 1)), i = 1..4)]:

$\left\{\begin{array}{cc}{0}& {t}{\le}{0}\\ \frac{{{\mathrm{ln}}{}\left({t}\right)}^{{2}}{}{t}}{{2}}{}{t}{}{\mathrm{ln}}{}\left({t}\right){+}{t}& {t}{\le}{1}\\ {1}& {1}{<}{t}\end{array}\right.$
 (3) 
Compute the probability that the distance between two points randomly chosen from a 1x1 square is less than 1.
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Z := ((X[1]X[3])^2+(X[2]X[4])^2)^(1/2):

${}\frac{{29}}{{96}}{+}\frac{{\mathrm{\pi}}}{{4}}$
 (4) 