Derek rolls a die many times and records the number of times he rolls a three. Arrange the following situations in order from the situation that gives the largest difference between relative frequency and actual probability to the situation that gives the smallest difference.
Derek rolls the
die 10 times.
Derek rolls the
die 30 times.
Derek rolls the
die 5 times.
Derek rolls the
die 20 times.
i need an order

Derek is rolling a die many times and he is recording when he rolls a dice of three. So we have to identify from largest to smallest.

The first largest is 30 times. Because of 3*10=30, so he rolls three ten times. So the first option is B.

The second largest is 20 times. Derek rolled dice three-six times because of 3*6=18. So the second option is D.

The third-largest is 10 times. In this, he rolls three times. Because of 3*3=9. So the option is A.

The final option is C. Derek rolls five times. 3*1=3. In this, he rolled only one time. So the sequence is BDAC.