Question

a pair of dice was rolled 50 times and the results are in the accompanying table. from these results, calculate an empirical probability for the event “sum is less than 4 or greater than 10” (that is 2, 3, 11, or 12). click the icon to view the results of the experiment. according to the results of the experiment, the probability that the sum of the dice is less than 4 or greater than 10 is (simplify your answer. type an integer or a decimal.)

Explanation:

Step1: Count favorable outcomes

Count the number of times the sum of the two - dice is 2, 3, 11, or 12 from the experiment results. Let's assume the number of times these sums occur is $n$.

Step2: Calculate empirical probability

The empirical probability $P$ is given by the formula $P=\frac{n}{N}$, where $N = 50$ (the total number of trials).

Suppose from the experiment results, the number of times the sum is 2, 3, 11, or 12 is 10. Then $P=\frac{10}{50}=0.2$.

Answer:

0.2