Questions: Use the theoretical method to determine the probability of the following event. Sharing a birthday with another person when you both have birthdays in June. (Type an integer or a simplified fraction.)

$Use the theoretical method to determine the probability of the following event. Sharing a birthday with another person when you both have birthdays in June. (Type an integer or a simplified fraction.)$

Transcript text: Use the theoretical method to determine the probability of the following event. Sharing a birthday with another person when you both have birthdays in June. $\square$ (Type an integer or a simplified fraction.)

Solution

Solution Steps

Hint

Step 1: Determine the Number of Days in June

The month of June has $ 30 $ days.

Step 2: Calculate the Probability of Sharing a Birthday

To find the probability $ P $ of two people sharing a birthday in June, we use the formula: \[ P = \frac{1}{\text{Number of days in June}} = \frac{1}{30} \]

Step 3: Simplify the Probability

The probability $ P $ can be expressed as a simplified fraction: \[ P = \frac{1}{30} \]