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lys-0071 [83]
3 years ago
5

Your drawer contains 10 red socks and 7 blue socks. You pick 3 socks without replacement. What's the probability that at least t

wo socks will be different colors?
Mathematics
1 answer:
slamgirl [31]3 years ago
3 0

Answer:

105/136 ≈ 0.772

Step-by-step explanation:

There are 3 socks and 2 colors, so they are either all the same color or 2 will be different colors.

P(different colors)

= 1 − P(same color)

= 1 − ₁₀C₃/₁₇C₃ − ₇C₃/₁₇C₃

= 1 − 120/680 − 35/680

= 1 − 155/680

= 1 − 31/136

= 105/136

≈ 0.772

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