Multiple choice

A biased die is rolled 250 times. The occurrence of 1, 2, 3, 4, 5 and 6 is shown by the given table: Number 1 2 3 4 5 6 Frequency 25 34 32 30 34 95 Find the probability of getting a 3 on a roll of the die.

  1. 0.246

  2. 0.136

  3. 0.130

  4. 0.128
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D Correct answer
Explanation

Total frequency = 25+34+32+30+34+95 = 250. Frequency of 3 = 32. Probability = 32/250 = 0.128.

AI explanation

The empirical probability formula divides the observed frequency of the desired outcome by the total number of trials. The frequency of rolling a 3 is 32 out of 250 total rolls. Dividing 32 by 250 gives a probability of 0.128.

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