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Find the probability of having 5 Mondays in the month of February of a leap year.

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Total days in February of a leap year = 29

In a week there are 7 days. So in February of a leap year there are 4 weeks = 28 days and 1 day is extra.

In a week every day comes only once. Hence in 4 weeks every day comes 4 times.

∴ The sample space for 1 extra day is expressed as follows:

U = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}

∴ Total primary outcomes n = 7

A = Event that having 5 Mondays in the month of February in a leap year.

= {Monday}

∴ Favourable outcome for event A is m = 1

Hence, P(A) = \(\frac{m}{n} = \frac{1}{7}\)

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