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

Question

3 years ago

5

wo socks will be different colors?

1 answer:

slamgirl [31] · Answer 1 · 2021-12-17T12:56:07+03:00

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