Question

A sock drawer has 2 blue pair, 4 white pair, 4 black pair.
What is the probability you will pick out a white pair or a blue pair?
You replace each pair after you pick.


Choose the best answer from the options below:
A 2 / 10
B 1 / 5
C 1 / 25
D 3 / 5

Answer 1

To find the probability of picking out a white pair or a blue pair, we first need to determine the total number of pairs of socks in the drawer.

- Blue pairs: 2
- White pairs: 4
- Black pairs: 4

Total pairs = 2 (blue) + 4 (white) + 4 (black) = 10 pairs

Next, we find the number of favorable outcomes for picking either a white pair or a blue pair:

- Favorable outcomes for white pairs: 4
- Favorable outcomes for blue pairs: 2

Total favorable outcomes = 4 (white) + 2 (blue) = 6

Now we can calculate the probability of picking either a white pair or a blue pair:

\[
\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{6}{10} = \frac{3}{5}
\]

Thus, the probability of picking out a white pair or a blue pair is \( \frac{3}{5} \).

The best answer is:

D \( \frac{3}{5} \)