| 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.
-
A.
(frac{1}{10}) -
B.
(frac{1}{6}) -
C.
(frac{1}{5}) -
D.
(frac{3}{10})
Correct Answer: Option C
Explanation
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{2times 15}{150} = frac{1}{5})