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What is the probability of having 5th Sunday in the month of December.

Question

What is the probability of having 5th Sunday in the month of December.

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Solution

To calculate the probability of having a 5th Sunday in the month of December, we need to consider the number of Sundays and the number of days in December.

  1. Determine the number of days in December:

    • December has 31 days.
  2. Determine the number of Sundays in December:

    • To find the number of Sundays, we need to determine the day of the week for the 1st day of December.
    • We can use a calendar or a tool to find that December 1st, 2021, falls on a Wednesday.
    • Since there are 7 days in a week, we can calculate the number of Sundays by dividing the remaining days (31 - 1 = 30) by 7.
    • In this case, 30 divided by 7 equals 4 with a remainder of 2. So, there are 4 full weeks and 2 extra days.
    • Therefore, there are 4 Sundays in December.
  3. Determine the probability of having a 5th Sunday:

    • Since there are 4 Sundays in December, the probability of having a 5th Sunday is 0.
    • This is because there are not enough Sundays in the month to reach the 5th Sunday.

In conclusion, the probability of having a 5th Sunday in the month of December is 0.

This problem has been solved

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