A group of students rolled two number cubes 100 times and recorded a sum of six 14 times.  Find the experimental probability of rolling a sum of six.

1. Break Down the Problem

We need to calculate the experimental probability of rolling a sum of six when two number cubes are rolled. The information provided states:

• Number of trials (rolls) = 100
• Number of successful outcomes (rolling a sum of six) = 14

2. Relevant Concepts

The formula for experimental probability is given as:

$P(E) = \frac{\text{Number of successful outcomes}}{\text{Total number of trials}}$

Where:

• $P(E)$ is the experimental probability
• Number of successful outcomes is the occurrence of the event we are interested in (rolling a sum of six)
• Total number of trials is the total number of times the experiment was conducted (number of rolls)

3. Analysis and Detail

Now, we substitute the values into the probability formula:

$P(E) = \frac{14}{100}$

4. Verify and Summarize

Now simplify the fraction if necessary:

$P(E) = 0.14$

Final Answer

The experimental probability of rolling a sum of six is $0.14$ or $14\%$.