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Chapter 6

Test Yourself

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Each class at Greenville S…

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In Brady's math class…

So for this woman says off the three hundred and twenty six children at north Central preschool, two hundred eleven have dog and one hundred and seventy four have cat. If eighty three of the children have neither cat nor Doc, how many have both. Okay, so let's go and draw out the situation. So this is going to be our school North Central preschool. We know that there are three hundred twenty six total. So out of the three hundred twenty six, though we know that eighty three do not have either. So then we wantto subtract that so that we want to know how many are cat owners, Pet. Oh, nurse gonna be three hundred twenty six. The total minus two people that don't have either, which is going to be two hundred and forty three. We know that eighty three is going to be outside of the vent diagram, and then the total of this is going to be two forty three. So then we can use the equation from probability that says probability of a plus. The probability of B minus the probability of A and B is equal to the probability of A or B So this middle section, the overlap is the A and B. So the people that have but the cat and dog and then the probability of A or B is going to give us the total over here. So then we know that the probability of a for the cats will call this cats and Mrs Dogs. So one seventy four is a total for cats. So one seventy four and then to eleven is dogs. And then if we do that, we should get a total of three hundred and eighty five people. So again, if we were to play in the three hundred eighty five into the p of a pose p f b we'LL go over here for a space on three hundred and eighty five minus a probability of A and B is equal to the probability of A or B, which we've already defined us to forty three because this figure right here is just a total. Okay, so then we can fun subtract two hundred forty three from both sides, which would give us two eighty three eighty five minus two forty three minus B of A and B should equal zero and then from here. We're going to go ahead and add probably if a and B two both sides which gives us three eighty five minutes to forty three, is equal to the probability of A and B. So then if we calculate that out, three hundred and eighty five minus two. Forty three is one forty two, so we know that he has to be our answer.

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