A die is rolled 200 times, and a 6 comes up 30 times. What is the relative frequency?

Relative frequency = no. of successful outcomes / total no. of tries
In this case, 30/200 = 15/100 = 3/20
3/20 is the relative frequency, or relative probability, of rolling a 6. The accuracy of the relative frequency increases as you increase the number of times you roll the die. The theoretical probability of a 6 on a fair die is 1/6 = 10/60, whereas 3/20 = 9/60. Over 1000 rolls, or 2000, or even 10000, the relative probability should draw nearer to 1/6.

Answered by DavidOrrell | 2024-06-10

The relative frequency of rolling a 6 on a die rolled 200 times, where 6 appeared 30 times, is 20 3 ​ or 15%. This frequency indicates how often 6 is rolled based on the observed outcomes. The more times the die is rolled, the closer the relative frequency is expected to get to the theoretical probability of 6 1 ​ .
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Answered by DavidOrrell | 2024-09-27