Questions: If a person is randomly selected, find the probability that his or her birthday is not in May. Ignore leap years.
A. 31/334
B. 334/365
C. 31/365
D. 11/12
Transcript text: If a person is randomly selected, find the probability that his or her birthday is not in May. Ignore leap years.
A. $\frac{31}{334}$
B. $\frac{334}{365}$
C. $\frac{31}{365}$
D. $\frac{11}{12}$
Solution
Solution Steps
Step 1: Total Days in a Year
The total number of days in a year, ignoring leap years, is given by:
\[
\text{total\_days} = 365
\]
Step 2: Days in May
The number of days in the month of May is:
\[
\text{days\_in\_may} = 31
\]
Step 3: Days Not in May
To find the number of days that are not in May, we subtract the days in May from the total days in the year:
\[
\text{days\_not\_in\_may} = \text{total\_days} - \text{days\_in\_may} = 365 - 31 = 334
\]
Step 4: Probability Calculation
The probability that a randomly selected person's birthday is not in May is calculated as the ratio of the number of days not in May to the total number of days in the year:
\[
\text{probability\_not\_in\_may} = \frac{\text{days\_not\_in\_may}}{\text{total\_days}} = \frac{334}{365} \approx 0.9151
\]
Final Answer
The probability that a randomly selected person's birthday is not in May is:
\[
\boxed{\frac{334}{365}}
\]