To find the probability that Deena will choose a pair of navy socks, we first need to determine the total number of pairs of socks in her drawer.
Step 1: Calculate the total number of pairs of socks.
- White socks: 4 pairs
- Black socks: 3 pairs
- Red socks: 1 pair
- Navy socks: 2 pairs
Now, we can sum these:
\[ \text{Total pairs} = 4 + 3 + 1 + 2 = 10 \text{ pairs} \]
Step 2: Determine the number of favorable outcomes for choosing navy socks.
There are 2 pairs of navy socks.
Step 3: Calculate the probability.
The probability \( P \) of choosing a pair of navy socks is given by the ratio of the number of favorable outcomes to the total number of outcomes:
\[ P(\text{navy socks}) = \frac{\text{Number of navy pairs}}{\text{Total pairs}} = \frac{2}{10} = \frac{1}{5} \]
Thus, the probability that Deena will choose a pair of navy socks is \( \frac{1}{5} \).
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