Question

Please help me with this question..

A population of 100 voters consists of 40 republicans, 35 democrats and 25 independents. A random sample of 10 voters is chosen. Find the probability that the sample contains atleast 4 republicans, atleast 3 democrats and atleast 2 independents.

Answer 1

{40C4 * 35C3 * 25C2 * 91C1}/100C10

Answer 2

Let me know if you want me to explain it.

Answer 3

Can you please tell me the reason why you came up with that? I am confused with the word 'atleast'..

Answer 4

out of the 10 voters of the random sample... there must be 4 republicans, 3 democrats and 2 independents and remaining 1 can be anyone.

Answer 5

So, number of the samples of 10 voters that has atleast 4 republicans, atleast 3 democrats and atleast 2 independents = 40C4 * 35C3 * 25C2 * 91C1

Answer 6

And total number of samples of 10 voters = 100C10

Answer 7

I think i got it.. Thanks! I thought the answer was 0.2474.. As this link says http://www.math.uah.edu/stat/urn/MultiHypergeometric.html

Answer 8

at least mean there can be more than 3 democrats and 2 republicans

Answer 9

@radicalsniper I suggest that you go with the explanation and answer at the link you cited.

The explanation posted on this thread has to do with the exactly 4 Republicans, 3 Democrats, and so on.

The questions asks: s a tleast 4 republicans, a tleast 3 democrats and at least 2....

Exactly and at least are not the same.