Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11

# What is the Probability that the 13th Days of a Randomly Chosen Month is Friday? - Mathematics

What is the probability that the 13th days of a randomly chosen month is Friday?

#### Solution

Probability of any chosen month out of 12 months = $\frac{1}{12}$

There are seven possible ways in which a month can start and it will be a Friday on the 13th day if the first day of the month is Sunday.
So, its probability = $\frac{1}{7}$

Thus, required probability = $\frac{1}{12} \times \frac{1}{7} = \frac{1}{84}$

Hence, the probability that the 13th day of a randomly chosen month is Friday = $\frac{1}{84}$

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#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 33 Probability
Q 7 | Page 71