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dolphi86 [110]
3 years ago
6

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 p

robability that both socks are red?
Please help ASAP. I have a test tomorrow
Mathematics
2 answers:
AveGali [126]3 years ago
7 0

Answer:

8008

Step-by-step explanation:

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

Minchanka [31]3 years ago
7 0

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

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