I need help with part c).
However, these are the answers I got for a) & b):
a) P(S1) = P(S1 | S0) * P(S0) + P(S1 | ¬S0) * P(¬S0) = 0.65
b) P(¬Red_eyes and ¬Yawn | S1) = P(¬Red_eyes | S1) * (¬Yawn | S1) = 0.8 * 0.9 = 0.72
And my answer for c)
P(S1 | e1) = [P(e1 | S1) * P(S1)] / P(e1) = [0.72 * 0.65]/ 0.542 = 0.864
where P(e1) = P(e1 | S1) * P(S1) + P(e1 | ¬S1) * P(¬S1) =0.542
This is the given solution to c):
I don't understand how they got 0.136? Why is the answer written like that? Isn't the right answer just 0.864?
Thanks in advance!