| Face |
1 |
2 |
3 |
4 |
5 |
6 |
| Frequency |
12 |
18 |
y |
30 |
2y |
45 |
Given the table above as the results of tossing a fair die 150 times. Find the probability of obtaining a 5.
Probability of obtaining a 5 = \(\frac{\text{frequency of 5}}{\text{total frequency}}\)
\(12+18+y+30+2y+45 = 150 \implies 105+3y = 150\)
\(3y = 45; y = 15\)
Probability of 5 = \(\frac{2\times 15}{150} = \frac{1}{5}\)