Mathematics
Find the probability that the month of February may have 5 Wednesdays in
(i) a leap year
(ii) a non-leap year
Probability
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Answer
In the month of February there are 29 days in a leap year while 28 days in a non-leap year.
(i) In a leap year's February there are 29 days i.e. 4 weeks and 1 day. In order to have 5 wednesdays, the remaining 1 day should be a wednesday
∴ Probability (having 5 wednesdays) = .
Hence, the probability that the month of February may have 5 Wednesdays in a leap year is .
(ii) In a non-leap year's February there are 28 days i.e. 4 weeks and 0 day.
∴ Probability (having 5 wednesdays) = = 0.
Hence, the probability that the month of February may have 5 Wednesdays in a non-leap year is 0.
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