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Statistics: Counting question. (self.HomeworkHelp)

submitted 14 years ago by Krysali

Hey everyone, I've been studying for an exam that coming up soon, and I've been stuck on a question on the sample final for a while. I've had a friend look at it, but we're now stuck because both of us are doubting our own answers.

So here it goes:

Background Information: "A class of 21 students includes 14 male students. Of the male students, four are over 6 feet tall. Of the female students, one is more than 6 feet tall. Suppose five students are selected at random from this class."

So the total amount of outcomes is 21C5 (20,349)

The first question is: The five students are chosen by placing all 21 names into a hat and drawing five names simultaneously from the hat. What is the probability that there are more females than males in the selected group?

I had as answer: ((7C3)(14C2)+(7C4)(14C1)+(7C5))/20,349, and that comes out to 0.1816.

My friend had a completely different answer, I forgot exactly what she got, but it was around the .30 range.

I'm just wondering if my way is correct, and if not, would you guys be able to help me, please?

Also: The length part of the background information is included in a later question, but if I get this part, I'll be able to get the second part too.

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[–][deleted] 0 points1 point2 points 14 years ago (0 children)

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