Answer: There is a chance of 5% of adult regularly drinks coffee but doesn't drink soda.
Step-by-step explanation:
Since we have given that
Probability of all adults consume coffee P(C) = 50%
Probability of all adults consume carbonated soda P(S) = 65%
Probability of all adults consumes both coffee and soda P(C∩S) = 45%
We need to find the probability that adult regularly drinks coffee but doesn't drink soda.
So, it is talking about difference of sets in which we consider only one set completely i.e. it contains all element of one set but never contains any element of another set.
Here, P( Coffee - Soda) = P(C)-P(C∩S)
[tex]P(C-S)=0.50-0.45=0.05=0.05\times 100\%=5\%[/tex]
Hence, there is a chance of 5% of adult regularly drinks coffee but doesn't drink soda.