Question

how is the theoretical probability of an event calculated?
a. \\( \frac { \text { number of successes } } { \text { number of non - successes } } \\)
b. \\( \frac { \text { number of trials } } { \text { number of successes } } \\)
c. \\( \frac { \text { number of favorable outcomes } } { \text { total number of possible outcomes } } \\)
d. \\( \frac { \text { total number of possible outcomes } } { \text { number of favorable outcomes } } \\)

Explanation:

Theoretical probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. This is a fundamental concept in probability theory. For example, when rolling a fair six - sided die, the probability of getting a 3 (favorable outcome) is \( \frac{1}{6} \) (1 favorable outcome out of 6 possible outcomes).

Answer:

C. \( \frac{\text{number of favorable outcomes}}{\text{total number of possible outcomes}} \)