a six - sided number cube is rolled 600 times. the results are 246 even numbers and 354 odd numbers. how…

a six - sided number cube is rolled 600 times. the results are 246 even numbers and 354 odd numbers. how does the relative frequency of rolling an odd number compare to the theoretical probability? select from the drop - down menus to correctly complete the statements. the relative frequency of rolling an odd number is choose... the theoretical probability. the theoretical probability is choose... and the relative frequency is choose...

a six - sided number cube is rolled 600 times. the results are 246 even numbers and 354 odd numbers. how does the relative frequency of rolling an odd number compare to the theoretical probability? select from the drop - down menus to correctly complete the statements. the relative frequency of rolling an odd number is choose... the theoretical probability. the theoretical probability is choose... and the relative frequency is choose...

Answer

Explanation:

Step1: Calculate theoretical probability

A six - sided die has 3 odd numbers (1, 3, 5) out of 6 possible outcomes. So the theoretical probability $P$ of rolling an odd number is $P=\frac{3}{6}=\frac{1}{2}=0.5$.

Step2: Calculate relative frequency

The relative frequency $f$ of rolling an odd number is calculated by dividing the number of times an odd number occurred by the total number of rolls. The number of odd - number rolls is 354 and the total number of rolls is 600. So $f = \frac{354}{600}=0.59$.

Step3: Compare relative frequency and theoretical probability

Since $0.59>0.5$, the relative frequency of rolling an odd number is greater than the theoretical probability.

Answer:

The relative frequency of rolling an odd number is greater than the theoretical probability. The theoretical probability is $0.5$ and the relative frequency is $0.59$.