find the probability of 53 mondays in a year that is not a leap year
Answers
Step-by-step explanation:
53
365
it is the answer to your question
Step-by-step explanation:
The total number of weeks in a non-leap year {365 days = 52 (1/7)} is 52 weeks and one odd day. Since, finding the probability for an odd day to be Monday is enough to find the probability of getting 53 Mondays in an ordinary year of a Gregorian calendar.
Workout
step 1 Possible events for 1 odd dayThe odd day may be either Sunday, Monday, Tuesday, Wednesday, Thursday, Friday or Saturday. Therefore, the total number of possible outcome or elements of sample space is 7
n(S)=7
step 2 Probability of 1 Odd day to be Monday :The sample space S = {Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday}Expected event of A = {Monday}
n(A)=1
P(A) =n(A)/n(S)
=1/7
1/7P(A) = 0.14
0.14 or1/7 is probability for 53 Mondays in a non-leap year.