Question

find the indicated probability. if a person is randomly selected, find the probability that his or her birthday is in august. ignore leap years.
$\frac{31}{365}$
$\frac{1}{12}$
$\frac{30}{365}$
$1$

Explanation:

Step1: Identify total number of possible outcomes

There are 365 days in a non - leap year, so the total number of possible birthdays is 365.

Step2: Identify number of favorable outcomes

August has 31 days. So the number of favorable outcomes (a birthday in August) is 31.

Step3: Calculate probability

The probability $P$ of an event is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$. So $P = \frac{31}{365}$.

Answer:

$\frac{31}{365}$