Question

Your drawer contains 6 red socks and 10 blue socks. It's too dark to see which are which, but you grab two anyway. What is the probability that both socks are red?
Please help ASAP. I have a test tomorrow

Answer 1

Answer:

8008

Step-by-step explanation:

nCr=16!/6!*(16-6)!=8008

Answer 2

Answer:

1/8

Step-by-step explanation:

There's two ways you can solve this.

Method 1: Let's say you grab the socks one at a time.  The first sock you grab has a 6/16 probability of being red.  If the sock is red, then the second sock you grab has a 5/15 probability of being red, because there's one less red sock and one less sock total.  So the overall probability is:

P = 6/16 × 5/15 = 1/8

Method 2: There are ₆C₂ ways to choose 2 red socks from 6 red socks.  There are ₁₆C₂ ways to choose any 2 socks from all 16 socks.  So the probability that both socks you choose are red is:

P = ₆C₂ / ₁₆C₂ = 15 / 120 = 1/8