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State the following is true or false:

The probability of a non-leap year having 53 Mondays is $\frac{1}{7} .$

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True

False

answer is A.

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Detailed Solution

For an event A , probability of an event P(A) is

P (A) = \frac{Number of favorable outcomes}{Total number of outcomes}

In a non-leap year, there are 365 days, which means, 52 weeks and 1 day.
That one day is any day of the week.
But it is possible to get any one day as monday.

\Rightarrow

n(A) = 1.
Then P(A) =

\frac{1}{7}

Therefore, the probability of a non-leap year having 53 Mondays is

\frac{1}{7}

.
The probability of a non-leap year having 53 Mondays is

\frac{1}{7}

.
Hence, option 1 is correct and the statement is true.

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