Question

decide whether the probability described is theoretical or empirical. a pool table has 15 balls labeled 1 through 15. the probability of a ball made on the break having a number less than 11 is 2/3. the probability described is an empirical probability. the probability described is a theoretical probability.

Explanation:

Theoretical probability is calculated based on the number of favorable outcomes divided by the total number of possible outcomes. Here, there are 10 balls numbered less than 11 (1 - 10) out of 15 total balls. The calculation is \( \frac{10}{15}=\frac{2}{3} \), which is based on the inherent properties of the situation (numbering of balls) without conducting experiments. Empirical probability is based on actual experiments or observations. Since this is a calculation from known counts (not from repeated trials of breaking in pool), it is theoretical.

Answer:

The probability described is a theoretical probability.