The probability that a non leap year selected at random will have 53 S...
Non-leap year contains 365 days = 52 weeks + 1 days
52 weeks contain 52 Sundays
We will get 53 Sundays if one Sunday will come in a week.
Number of Total possible outcomes = 7
Number of possible outcomes = 1
∴ Required Probability = 1/7
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The probability that a non leap year selected at random will have 53 S...
Because in a non leap year 365 days exit so there 52 Monday+ 1 days that is probability is 1/7
The probability that a non leap year selected at random will have 53 S...
Introduction:
A non-leap year consists of 365 days, which is divided into 52 weeks and 1 extra day. In a non-leap year, each day of the week occurs 52 times, except for one day which occurs 53 times. We need to find the probability of this extra day being a Sunday.
Analysis:
Let's analyze the problem step by step:
1. Total number of days in a non-leap year: 365 days.
2. Total number of weeks in a non-leap year: 52 weeks.
3. Total number of days in 52 weeks: 52 x 7 = 364 days.
4. Remaining days after 52 weeks: 365 - 364 = 1 day.
Probability Calculation:
To find the probability, we need to determine the number of favorable outcomes and the total number of possible outcomes.
1. Number of favorable outcomes: The extra day can be Sunday, which is only one day of the week.
2. Total number of possible outcomes: There are 7 days in a week.
Therefore, the probability of the extra day being a Sunday is 1 out of 7, which can be written as 1/7.
Conclusion:
The probability that a non-leap year selected at random will have 53 Sundays is 1/7. This means that in a non-leap year, there is a 1/7 chance that the extra day will be a Sunday.