What is the probability that a randomly selected person will have a birthday in June? Assume that this person was not born in a leap year. Express your answer as a simplified fraction or a decimal rounded to four decimal places.

Answer

To find the probability, we need to divide the number of favorable outcomes (days in June) by the total number of possible outcomes (total days in a non-leap year). 1. Identify the number of days in June: June has 30 days. 2. Identify the total number of days in a non-leap year: A non-leap year has 365 days. 3. Set up the probability fraction: P(Birthday in June) = (Days in June) / (Total days in year) = 30 / 365. 4. Simplify the fraction: Both 30 and 365 are divisible by 5. Dividing both by 5, we get 30 % 5 = 6 and 365 % 5 = 73. So, the simplified fraction is 6/73. 5. Alternatively, express as a decimal: 6 % 73 ≈ 0.0821917... 6. Round to four decimal places: 0.0822.