Card type problem, 3 draws

I read the sticky and watched some videos and learned a bit about some basic statistics concepts.

I am struggling with the following problem:

You have a stack of 10 cards.

7 are black 3 are red

If you draw 3 cards from the same pool of 10, what is the probability that at least 1 will be red?

Thanks for any help.

Re: Card type problem, 3 draws

Quote:

Originally Posted by

**hardwarefailure** You have a stack of 10 cards.

7 are black 3 are red

If you draw 3 cards from the same pool of 10, what is the probability that at least 1 will be red?

It is 1 minus the probability that none of the three is red.

Re: Card type problem, 3 draws

Quote:

Originally Posted by

**Plato** It is 1 minus the probability that none of the three is red.

And what is the probability that none of the 3 are red?

Is that (7/10)*(6/9)*(5/7)?

If so the probability of said problem is .666 or 2/3?

Thanks again.