Question

Student has 5 blue socks, 7 white socks, 9 red socks and 4 yellow socks what’s the probability the student would pick a red or yellow sock

Answer 1

To find the probability of picking a red or yellow sock, you can follow these steps:

1. **Determine the total number of socks**:
- Blue socks: 5
- White socks: 7
- Red socks: 9
- Yellow socks: 4

Total socks = 5 + 7 + 9 + 4 = 25 socks

2. **Determine the number of favorable outcomes (red or yellow socks)**:
- Red socks: 9
- Yellow socks: 4

Total red or yellow socks = 9 + 4 = 13 socks

3. **Calculate the probability**:
Probability of picking a red or yellow sock = (Number of red or yellow socks) / (Total number of socks)

\[
P(\text{red or yellow}) = \frac{13}{25}
\]

Thus, the probability of the student picking a red or yellow sock is \( \frac{13}{25} \).