The tree diagram represents an experiment considering of two trials. P(C)=

Work Shown:

P(A) = 0.5

P(C given A) = 0.4 ... follow the uppermost branches.

P(A and C) = P(A)*P(C given A)

P(A and C) = 0.5*0.4

P(A and C) = 0.20

P(B) = 0.5

P(C given B) = 0.3 ... go from B to C

P(B and C) = P(B)*P(C given B)

P(B and C) = 0.5*0.3

P(B and C) = 0.15

There are two ways to get to C.

The first option will have us compute P(A and C). The second option will have us compute P(B and C). Both options are mutually exclusive (you can only pick one path), so that means we can add up the probabilities we found earlier

Therefore we can say

getting to C = (take path A to C) OR (take path B to C)

P(C) = P(A and C) + P(B and C)

P(C) = 0.20 + 0.15

P(C) = 0.35

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step-by-step explanation:

sas (side angle side)

aa(angle angle)

sss(side side side)

sas you have to find two sides with an angle in between

aa you find two angles because it will always add up to 180

sss find all sides

step-by-step explanation: