Answer:
To find the probability of a randomly selected person having a birthday in August using the theoretical method, we need to know the number of favorable outcomes and the number of possible outcomes.
The number of favorable outcomes is the number of days in August, which is 31.
The number of possible outcomes is the number of days in a year, which is 365 (or 366 in a leap year).
The theoretical probability is the ratio of the number of favorable outcomes to the number of possible outcomes. Using the formula from this website, we can calculate it as:
P(birthday in August) = 31 / 365
Simplifying this fraction, we get:
P(birthday in August) = 0.0849
This is the approximate probability of a randomly selected person having a birthday in August. If we want to express it as a simplified fraction, we can use [this calculator] to find the common factors of 31 and 365 and divide them by the greatest common factor, which is 1. The result is:
P(birthday in August) = 31 / 365
This is the simplest form of the fraction. Therefore, the answer is either 0.0849 or 31 / 365. I hope this helps you understand how to use the theoretical method to find probabilities. If you have any questions, please let me know.