you are dealt 3 cards from a standard deck of 52 cards. find the proability that all the cards are hearts, and lower than 10. work this with a tree diagram and with proability formulas.

Question

you are dealt 3 cards from a standard deck of 52 cards. find the proability that all the cards are hearts, and lower than 10. work this with a tree diagram and with proability formulas.

Answer 1

I would have to know if the Ace is considered to be a card less than 10

Let's assume it is, you can easily change the solution if it considered not to be.

So with the ace, there are 9 hearts less than 10 (A,2,3,4,5,6,7,8,9)

so the prob is (9/52)(8/51)(7/50) = 21/5525

or

the prob is C(9,3)/C(52,3) = 84/22100 = 21/5525