What is the probability of getting 53 Tuesday in a leap year?a)b)c)d)N...
In a leap year, there are 52 weeks and 2 days.
These two days may be (Monday, Tuesday) (Tuesday, Wednesday), (Wednesday, Thursday) (Thursday, Friday), (Friday, Saturday), (Saturday, Sunday), (Sunday, Monday).
What is the probability of getting 53 Tuesday in a leap year?a)b)c)d)N...
To find the probability of getting 53 Tuesdays in a leap year, we need to consider two primary factors: the number of days in a leap year and the number of Tuesdays in a year.
1. Number of days in a leap year:
In a leap year, there are 366 days instead of the usual 365 days. This additional day is added to keep the calendar year synchronized with the solar year. This extra day is known as a leap day and is added to the month of February, making it 29 days instead of the usual 28 days.
2. Number of Tuesdays in a year:
To determine the number of Tuesdays in a year, we need to consider the total number of days and the pattern of the days of the week throughout the year. In a non-leap year, there are 52 weeks and 1 day, resulting in 52 Tuesdays. However, in a leap year, there are 52 weeks and 2 days (since there is an extra day in February), resulting in 53 Tuesdays.
Therefore, the probability of getting 53 Tuesdays in a leap year can be calculated as follows:
Probability = Number of favorable outcomes / Total number of outcomes
Number of favorable outcomes:
In a leap year, the favorable outcome is getting exactly 53 Tuesdays. Since there is only one leap day in February, we need to ensure that the first day of the year is not a Tuesday, as this would result in 54 Tuesdays. Therefore, the favorable outcome is having the first day of the year as any day other than Tuesday and having 53 Tuesdays in total.
Total number of outcomes:
The total number of outcomes is equal to the total number of possible arrangements of the days of the year, which is 7 (the number of days in a week).
Hence, the probability of getting 53 Tuesdays in a leap year is 1/7 or option B.