Multiple choice

A die is rolled $500$ times. The following table shows that the outcomes of the die. Outcomes $1$ $2$ $3$ $4$ $5$ $6$ Frequencies $80$ $75$ $90$ $75$ $85$ $95$ Find the probability of getting on outcome less than $2$

  1. $\dfrac {4}{25}$
  2. $\dfrac {8}{25}$
  3. $\dfrac {3}{25}$

  4. None of these
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A Correct answer
Explanation

Total trials = 500. Outcomes less than 2 is only outcome 1. Frequency of 1 is 80. Probability = 80/500 = 8/50 = 4/25.

AI explanation

The total number of times the die was rolled is the sum of the frequencies: 80 + 75 + 90 + 75 + 85 + 95 = 500. The outcome less than 2 is 1, which occurred 80 times. Using the empirical probability formula, we divide the frequency of the desired outcome by the total frequency. The probability is 80 divided by 500, which simplifies to 4 divided by 25.

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