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

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#### 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 13^{th} 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 13^{th} day of a randomly chosen month is Friday = \[\frac{1}{84}\]

Concept: Random Experiments

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