Question

what is the probability that there are 5 Sundays in the month of January

Answer 1

January will have 5 Sundays if January 1 falls on Friday, Saturday or Sunday. Therefore the probability is 3/7. You can apply the same logic for other months. 3 by 7 is the perfect answer.as there are seven days in a week and there are 3 possible outcomes Possible outcomes ÷ total number of favourable outcomes.

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Answer 2

January has 31 days, which means 4 weeks and 3 days.

So, to have 5 Sundays, any one of the 3 extra days should be a Friday, Saturday, or a Sunday. Check it yourself. To have a fifth sunday the three extra days will have a sunday in it, and the other two days can either be Friday, Saturday or Monday, Tuesday.

Thus, there are seven days in a week (Total Observation)

And, three extra days in the month

Therefore, required probability =3/7