The probability that a leap year contains 52mondays and 52 Wednesdays is
1 1/7
2 2/7
3 3/7
4 5/7
Answers
Answer:
Hence, the correct answer is option (c)
Step-by-step explanation:
To find: The probability that a leap year has 52 Mondays.
There are 366 days in a leap year.
Thus, there are in a leap year.
Each of these 52 weeks has a Monday.
Hence, there are at least 52 Mondays in any leap year.
The remaining 2 days can be any two consecutive days from Sunday to Saturday, that is,
Sunday, Monday
Monday, Tuesday
Tuesday, Wednesday
Wednesday, Thursday
Thursday, Friday
Friday, Saturday
Saturday, Sunday
Hence, there are 7 possible events.
Out of the possible events, for a leap year to have exactly 52 Mondays, none of the remaining 2 days must be Monday.
Hence, there are exactly 5 favourable outcomes -
Tuesday, Wednesday
Wednesday, Thursday
Thursday, Friday
Friday, Saturday
Saturday, Sunday
The probability of occurrence of an event is defined as .
number of favorite event / total number of event
In this way, we find that the probability of having 52 Mondays in a leap year is 5/7
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