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?
0.038
0.200
0.315
0.465
0.747

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?
0.038
0.200
0.315
0.465
0.747

anonymous · Answer

@YanaSidlinskiy

yanasidlinskiy · Answer

Sorry, I was a bit busy... But just give me a second:)

yanasidlinskiy · Answer

all the possible draw are as such

nnnnss
nnnsns
nnsnns
nsnnns
snnnns

nnnssn
nnsnsn
nsnnsn
snnnsn

nnssnn
nsnsnn
snnsnn

nssnnn
snsnnn

ssnnnn

yanasidlinskiy · Answer

there are 13 spades, and what ... 39 not spades?
$\huge\frac{39*38*37*36*13*12}{52*51*50*49*48*47}~:~15~times$

yanasidlinskiy · Answer

I simplified it to a multiplication problem.... Work it out and you should get the answer:)

anonymous · Answer

Thanks!

yanasidlinskiy · Answer

You're Welcome!:)