To solve a "probability of picking matching socks" problem, follow this general approach:

Step 1: Identify the number of socks per color

Let the drawer have socks of colors (C_1, C_2, ..., C_k), with counts (n_1, n_2, ..., n_k) respectively. Total socks (N = n_1 + n_2 + ... + n_k).

Step 2: Calculate favorable outcomes

A matching pair is two socks of the same color. For each color (C_i), the number of ways to pick 2 socks is (\binom{n_i}{2} = \frac{n_i(ni-1)}{2}). Sum these for all colors:
Favorable outcomes = (\sum{i=1}^k \frac{n_i(n_i-1)}{2}).

Step 3: Calculate total possible outcomes

Total ways to pick any 2 socks: (\binom{N}{2} = \frac{N(N-1)}{2}).

Step 4: Compute probability

Probability = (\frac{\text{Favorable outcomes}}{\text{Total outcomes}} = \frac{\sum n_i(n_i-1)}{N(N-1)}).

Example

If the drawer has 2 red, 2 blue, 2 green socks ((N=6)):
Favorable = ((2×1)+(2×1)+(2×1)=6)
Total = (6×5=30)
Probability = (\frac{6}{30} = \frac{1}{5}).

Note: Without the image details (sock counts per color), the exact value can’t be determined. Use the above method with your image’s data to get the answer.

Answer: (Depends on image data; e.g., (\boxed{\frac{1}{5}}) for the example above.)
If you provide the sock counts, I can give the exact result!

(\boxed{}) (Fill in with your calculation.)

作者声明:本文包含人工智能生成内容。