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Question

A kennel has 400 dogs. There are 200 poodles and 150 dogs with with shaggy hair. If 12.5% of the poodles have shaggy hair, what is the probability that one randomly selected dog will be a poodle or will have shaggy hair?

Answer 1

Total outcomes =  400 dogs

Particular outcome of poodle = 200

Particular outcome of shaggy hair = 12.5 % of 200 = 0.125 * 200 = 25

Pr(any item occurring) = outcome of item/total outcomes

So Pr(poodle or shaggy hair) = sum of the probabilities = 200/400 + 25/400 = 225/400 = 0.5625

This is 0.56 when rounded to nearest 2 decimal places.