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?asap. i have a test tomorrow

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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step-by-step explanation: