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Probability of selecting a dog

If a person adopts a pet there is a 45% it'll be a cat and 55% it will be a dog (a local dog and cat adoption). If a cat is adopted there is 60% chance it will be a female. If a dog is adopted there is 35% chance it is a female. A random selection is made and it was a male.

What is the the probability that the selection is a dog?


Solution Summary

This solution is provided in 111 words in an attached .doc file. It uses basics of probability and step-by-step equations and problem solving to find the probability of the event of selecting a dog.