Question

If 6 cards are drawn at random from a standard deck of 52 cards, what is the probability that exactly 2 of the cards are spades?

Answer 1

(A).038, (B).200, (C).315, (D).465, (E).747

Answer 2

@paki @thomaster

Answer 3

i think 2/52 = 0.038...

Answer 4

THERE MIGHT BE AN EASier way to do this but here goes

suppose the first 2 cards are spades and the last 4 are not spades
the probability of this is

(1/4)*(12/51)*(39/50)*(38/49)*(37/48)*(36/47) = 0.021

now there are 6C2 ways of combining 2 spades in 6 cards = 15

so the rquired probability = 15 *021 = 0.315

Answer 5

yes thats it

Answer 6

Thank you @cwrw238 i knew there was something else to it.

Answer 7

Thank you as well @paki

Answer 8

yw