Description: Probability is about more than just poker and dice. Learn about conditional probability and the idea of independent events in this tutorial.
need help solving this problem, want to make sure I am working it right.
A city council consists of 6 Democrats and four Republicans. If a committee of three people is selected, find the probability of selecting one Democrat and two republicans.
I think the total number of people would be 120, but im confused on how to work the formula to get the answer. thanks ladawn
LaDawn Jones on Wednesday, 19 November 2008, 11:51 CST |
OK, LaDawn, this is a combination problem. (Combination, because the order of people you select doesn't matter -- me first then you ends up the same as you first then me.)
First, let's find the total number of possible combinations of selecting 3 of 10 people. You can use our Combinations cramlet for that, butyour answer was correct -- there are 120 possible combinations of selecting 3 committee members out of the ten-person council.
(I have to go answer the door, let me come back to the second part...)
Professor Cram on Thursday, 20 November 2008, 18:23 CST |
need help solving this problem, want to make sure I am working it right.
A city council consists of 6 Democrats and four Republicans. If a committee of three people is selected, find the probability of selecting one Democrat and two republicans.
I think the total number of people would be 120, but im confused on how to work the formula to get the answer. thanks ladawn
OK, LaDawn, this is a combination problem. (Combination, because the order of people you select doesn't matter -- me first then you ends up the same as you first then me.)
First, let's find the total number of possible combinations of selecting 3 of 10 people. You can use our Combinations cramlet for that, butyour answer was correct -- there are 120 possible combinations of selecting 3 committee members out of the ten-person council.
(I have to go answer the door, let me come back to the second part...)