Class 10 Exam > Class 10 Questions > The probability that a non-leap year selected...
Start Learning for Free
The probability that a non-leap year selected at random will have 53 Mondays is
- a)1/7
- b)7/52
- c)52/365
- d)45/52
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The probability that a non-leap year selected at random will have 53 M...
We know that there are 52 weeks in a year.
There are 7 days in a week
52 weeks will be to 7*52 = 364 days.
The remaining 1 day can be any day among Monday, Tuesday,..., Sunday.
Sample space has seven days as options.
So probability of getting 53 Sundays in a non-leap year is 1/7
Free Test
FREE
| Start Free Test |
Community Answer
The probability that a non-leap year selected at random will have 53 M...
Given: A non-leap year is selected at random.
To find: The probability that the selected year will have 53 Mondays.
Solution:
A year has 365 days (52 weeks and 1 day).
In a non-leap year, February has 28 days.
The number of days in a year that are not in February = 365 - 28 = 337 days.
As 337 is not divisible by 7, there will be 52 complete weeks and 1 day left.
If the year starts on a Monday, there will be 53 Mondays in the year as the extra day will also be a Monday.
If the year starts on any other day, there will be 52 Mondays in the year.
There are 7 possible ways in which a year can start (Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday).
Out of these, only one way is favorable for having 53 Mondays (starting on Monday).
Therefore, the required probability = favorable outcomes/total outcomes = 1/7.
Hence, option A is the correct answer.
To find: The probability that the selected year will have 53 Mondays.
Solution:
A year has 365 days (52 weeks and 1 day).
In a non-leap year, February has 28 days.
The number of days in a year that are not in February = 365 - 28 = 337 days.
As 337 is not divisible by 7, there will be 52 complete weeks and 1 day left.
If the year starts on a Monday, there will be 53 Mondays in the year as the extra day will also be a Monday.
If the year starts on any other day, there will be 52 Mondays in the year.
There are 7 possible ways in which a year can start (Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday).
Out of these, only one way is favorable for having 53 Mondays (starting on Monday).
Therefore, the required probability = favorable outcomes/total outcomes = 1/7.
Hence, option A is the correct answer.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
The probability that a non-leap year selected at random will have 53 Mondays isa)1/7b)7/52c)52/365d)45/52Correct answer is option 'A'. Can you explain this answer?
Question Description
The probability that a non-leap year selected at random will have 53 Mondays isa)1/7b)7/52c)52/365d)45/52Correct answer is option 'A'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The probability that a non-leap year selected at random will have 53 Mondays isa)1/7b)7/52c)52/365d)45/52Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The probability that a non-leap year selected at random will have 53 Mondays isa)1/7b)7/52c)52/365d)45/52Correct answer is option 'A'. Can you explain this answer?.
The probability that a non-leap year selected at random will have 53 Mondays isa)1/7b)7/52c)52/365d)45/52Correct answer is option 'A'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The probability that a non-leap year selected at random will have 53 Mondays isa)1/7b)7/52c)52/365d)45/52Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The probability that a non-leap year selected at random will have 53 Mondays isa)1/7b)7/52c)52/365d)45/52Correct answer is option 'A'. Can you explain this answer?.
Solutions for The probability that a non-leap year selected at random will have 53 Mondays isa)1/7b)7/52c)52/365d)45/52Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of The probability that a non-leap year selected at random will have 53 Mondays isa)1/7b)7/52c)52/365d)45/52Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The probability that a non-leap year selected at random will have 53 Mondays isa)1/7b)7/52c)52/365d)45/52Correct answer is option 'A'. Can you explain this answer?, a detailed solution for The probability that a non-leap year selected at random will have 53 Mondays isa)1/7b)7/52c)52/365d)45/52Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of The probability that a non-leap year selected at random will have 53 Mondays isa)1/7b)7/52c)52/365d)45/52Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The probability that a non-leap year selected at random will have 53 Mondays isa)1/7b)7/52c)52/365d)45/52Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup