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in a town 40% of families have a dog and 30% have a cat. 25% of families with a

ID: 3128911 • Letter: I

Question

in a town 40% of families have a dog and 30% have a cat. 25% of families with a dog also have a cat. what fraction of people have a dog or cat? what is the probability that a family with a cat has a dog? in a town 40% of families have a dog and 30% have a cat. 25% of families with a dog also have a cat. what fraction of people have a dog or cat? what is the probability that a family with a cat has a dog? in a town 40% of families have a dog and 30% have a cat. 25% of families with a dog also have a cat. what fraction of people have a dog or cat? what is the probability that a family with a cat has a dog?

Explanation / Answer

Families to have a dog (a)= 45% Families to have cat (b)= 45% Families who have dog and cat (a and b)= 50 % of a = 22.5 % (i) people having a dog or cat (a or b) = a + b - (a and b) = 45+45-22.5 = 67.5% Fraction of it = 0.675 (ii) Probability of families with a cat to have dog = (a and b)/ a = 22.5/45 =0.5