Answer:
Step-by-step explanation:
For this case we have a total of people given 100
Let's define some notation:
C= Represent the people with just cats
D= Represent the people with just dogs
T= Represent the total os people
For this case we know that C = 58 ,D = 63 and T =100
The total on this case represent the union of both events CUT. And from the total general rule we have this
CUT = C + T - (C intersection D)
From the last formula we can find the interection between C and D who represent the people surveyed own both a cat and a dog.
C intersection D= C+ T + (CUT) = 58+63-100=21
And that represent the final answer for this case as we can see on the figure attached.
We can find also the people with just dogs 63-21= 42
And the people with just one cat 58-21= 37.
