Question

q 19.) a number cube with the numbers 1 - 6 is rolled 20 times. the table shows the frequency in which each number was rolled. is the theoretical probability of landing on the number 5 greater than or less than the experimental probability?

number rolled	1	2	3	4	5	6

Explanation:

Step1: Calculate total frequency

The total number of rolls is the sum of all frequencies. $3 + 4+2 + 4+5+2=20$.

Step2: Determine favorable outcomes

The numbers greater than or equal to 5 are 5 and 6. The frequency of 5 is 5 and the frequency of 6 is 2. So the total frequency of numbers greater than or equal to 5 is $5 + 2=7$.

Step3: Calculate experimental probability

The experimental - probability $P$ is the ratio of the number of favorable outcomes to the total number of outcomes. So $P=\frac{7}{20}=0.35$.

Step4: Calculate theoretical probability

A fair cube has 6 sides. The numbers greater than or equal to 5 are 5 and 6, so there are 2 favorable outcomes out of 6. The theoretical probability $P_{theo}=\frac{2}{6}=\frac{1}{3}\approx0.333$.
Since $0.35
eq0.333$, the experimental probability is not the theoretical probability.

Answer:

No