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 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 = \[\frac{1}{84}\]
Concept: Random Experiments
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