# Math Help - Probability from sample

1. ## Probability from sample

I have this problem I cant seem to figure out how to come to the solution :/

I would really appreciate any help!

"Assuming sixty percent of cats are black. From a sample of seven, what is the probability of two being black?"

Thanks

2. ## Re: Probability from sample

This is a binomial distribution, with sample size n = 7, probability of black cat = 0.6. We want the probability that the number of black cats $(x$) is 2. Therefore

$P(x=2) = {{7}\choose{2}} (.6)^2 (.4)^5 \approx 0.07741$; round to 0.08.

3. ## Re: Probability from sample

with sample size n = 7, probability of black cat = 0.6. We want the probability that the number of black cats (x) is 2. Therefore

P(x=2) = {{7}\choose{2}} (.6)^2 (.4)^5 \approx 0.07741; round to 0.08.

is it true....?