Number 1 2 3 4 5 6
Frequency 12 18 x 30 2x 45
The result of rolling a fair die 150 times is as summarized in the table above. What is the probability of obtaining a 5?
  • A 3/10
  • B 1/5
  • C 1/6
  • D 1/10
jamb 2008mathematics

The correct answer is B. 1/5

The sum of the frequencies in the table is

12 + 18 + x + 30 + 2x + 45 = 150

x = 15.

Therefore, the frequency of obtaining a 5 when rolling a fair die 150 times is:

2x = 2 15 = 30.

The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

In this case, the number of favorable outcomes is the frequency of obtaining a 5, which is 30, and the total number of possible outcomes is 150.

Therefore, the probability of obtaining a 5 when rolling a fair die 150 times is `30/150 = 1/5`.

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