An Algebra 2 probability question. What's the formula I need?

Question

I was sleepy, so there, I didn't listen.

I just need the formula. A little explaining would be nice.

There are 8 cards, 5 black and 3 white. Find each probability if you pick a card, do not replace it, then pick a second card.

eg. P(Black, then white)
P(Black, then black)

nevermind the examples, they're misleading.

Answer 1

Yes, I agree with Brian - his answer is correct

Answer 2

First, you have a 5/8 chance of picking black, and 3/8 of picking white. If you pick black, add one to "x", if you pick white, add one to "y". Both values start at zero.

Second time you have a (5-x)/7 chance of picking black, and a (3-y)/7 chance of picking white.

Then (5-x)/6 and (3-y)/6.

And so on. So if you pick a black first, than the next time you have a (5-1)/7 ----[4/7] chance of picking black and (3-0)/7 ----[3/7] chance of picking white.