wht is the probability of getting 5 Mondays in Febbruary in a non-leap year
Answers
Answer:
1 in 7 or approximately 14.29%
Step-by-step explanation:
In a leap year, February has 29 days. As a result there will be exactly one of the seven days of the week that will have 5 occurrences during February, the other days of the week will have exactly 4 occurrences. As a result, the probability of getting 5 Mondays is 1/7 or approximately 14.29%.
SOLUTION
TO DETERMINE
The probability of getting 5 Mondays in February in a non leap year
EVALUATION
A non leap year = 365 days
In a non leap year the month of February has 28 days
So total number of possible outcomes = 28
Let E be the event that of getting 5 Mondays in February in a non leap year
28 days = 4 weeks
Each week consists of :
Monday , Tuesday , Wednesday , Thursday , Friday , Saturday , Sunday
So in each week there is only one Monday
So total number of Monday in the month = 4
So there is no chance to have 5 Mondays in February in a non leap year
So total number of possible outcomes for the event E = 0
Hence the required probability
= P(E)
Also the result can be obtained in another way
Since there is no chance to have 5 Mondays in February in a non leap year
So E is an impossible event
We know that the probability of an impossible event is zero
Hence the required probability = 0
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