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

the total estimated nappy use.=10,500,000

step-by-step explanation:

given that on an average the average baby uses 3528 napkins.

in a particular year 2014, the number of births were 299697 in new south wales.

rounding off the number of births to the nearest hundred thousand we have

no of birtsh = 300000

also rounding off the average usage to nearst thousand we get

average use of a baby = 3500

hence total number of nappy estimated to be used = 3500x300000

= 10,500,000

answer is 10,500,000 nappies