SOLUTION: 100 pet owners were asked if they own a dog or a cat. 34 of them owned a cat. 60 owned a cat or a dog, 14 owned a cat and a dog.Fill in the Venn Diagram and find the probability th

Question 1066014: 100 pet owners were asked if they own a dog or a cat. 34 of them owned a cat. 60 owned a cat or a dog, 14 owned a cat and a dog.Fill in the Venn Diagram and find the probability that a pet owner has chosen at random owns. Write your answers formally using set notation where appropriate.
(a)neither a cat nor a dog
(b)A dog
(c)A dog but not a cat
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Cat=34
OR=60
AND=14
P(C)=34
P(D)=x
P(OR)=P(C)+P(D)-P (both)
60=34+ P(D)-14
P(D)=40
Neither is 40
Both 14
A dog 40
A cat 34
A cat alone 20
A dog alone 26

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