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find the indicated probability. if a person is randomly selected, find …

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 outcomes

The total number of days in a non - leap year is 365. So, the total number of possible birthdays is 365.

Step2: Identify 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 $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So, $P = \frac{31}{365}$.

Answer:

$\frac{31}{365}$