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?Select one of the options below as your answer: A. 0.038 B. 0.200 C. 0.315 D. 0.465 E. 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?Select one of the options below as your answer: A. 0.038 B. 0.200 C. 0.315  D. 0.465 E. 0.747

uri · Answer

@amistre64

amistre64 · Answer

6 choose 2 ways to pull the set ...

amistre64 · Answer

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

amistre64 · Answer

there are 13 spades, and what ... 39 not spades?

amistre64 · Answer

$$\frac{39*38*37*36*13*12}{52*51*50*49*48*47}~:~15~times$$

anonymous · Answer

A. 0.038 
B. 0.200 
C. 0.315  
D. 0.465 
E. 0.747

amistre64 · Answer

my result is one of the options ... work the math for yourself

anonymous · Answer

if i could i would.. but i dont know how... thats why i posted thid question...

anonymous · Answer

amistre64

amistre64 · Answer

i simplified the question to a multiplication problem .... if you do not know how to work out multiplication yet, then you are really out of your league with this stuff

amistre64 · Answer

http://www.wolframalpha.com/input/?i=15%2839*38*37*36*13*12%29%2F%2852*51*50*49*48*47%29