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<math>
<math>\begin{alignat}{3}
P(Y=1|do(X=1)) = \sum_Z P(Y=1|X=1, Z=z)P(Z) = P(Y=1|X=1, Z=1)P(Z=1) + P(Y=1|X=1, Z=0)P(Z=0)
P(Y=1|do(X=1)) & = \sum_Z P(Y=1|X=1, Z=z)P(Z) \\
= \frac{0.93*(87+270)}{700} + \frac{0.73*(263+80)}{700} = 0.832
& = P(Y=1|X=1, Z=1)P(Z=1) + P(Y=1|X=1, Z=0)P(Z=0) \\
&= \frac{0.93*(87+270)}{700} + \frac{0.73*(263+80)}{700} = 0.832 \\
\end{alignat}
</math>
</math>