Question

Compute the indicated probabilities

by referring to the probability tree.
(A) P(MOS)
(B) P(R)
0.8 M
0.2
(A) P(MnS) = (Type an integer or a decimal.)
(B) P(R)=
(Type an integer or a decimal.)
N
0.1
0.9
0.6
R
S
R
0.4 S

Answer 1

Answers:

• (a) 0.72
• (b) 0.2

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Work Shown for part (a)

`P(M \cap S) = P(M)*P(S \text{ given } M)\\\\P(M \cap S) = 0.8*0.9\\\\P(M \cap S) = 0.72\\\\`

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Work Shown for part (b)

`P(R) = P(R \cap M) + P(R \cap N)\\\\P(R) = P(M \cap R) + P(N \cap R)\\\\P(R) = P(M)*P(R \text{ given } M)+P(N)*P(R \text{ given } N)\\\\P(R) = 0.8*0.1 + 0.2*0.6\\\\P(R) = 0.2\\\\`