Find the probability that a leap year has 52 Sundays.
1. 3/5
2. 1/3
3. 5/7
4. 1/2
1. 3/5
2. 1/3
3. 5/7
4. 1/2
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Correct Answer – Option 3 : 5/7
Given
No.of days in leap year = 366 days
Formula Used
Probability = (Actual/Total)
Calculation
No. of weeks and day in leap year = 366/7 = 52 weeks and 2 days
Every leap year has 52 sundays
The probability of having 52 Sundays in a leap year is thus the remaining two days can be any of this formation
Sunday-Monday, Monday-Tuesday, Tuesday-Wednesday, Wednesday-Thursday, Thursday-Friday, Friday-Saturday, Saturday-Sunday.
However, to get 52 Sundays in a leap year, none of the remaining two days must be a Sunday
then out of the 7 combinations above, that can be only realized 5 out of 7 times.
The connection “Sunday-Monday and Saturday-Sunday” most be scraped off.
so, probability having 52 sunday = 5/7
∴ The required answer is 5/7