Home
Class 12
MATHS
If a leap is selected at random, then wh...

If a leap is selected at random, then what is the probability that it will have 53 Fridays?

Text Solution

Verified by Experts

A leap year consists of 52 weeks and 2 days. These two days can be {(Sunday, Monday), (Monday, Tuesday), (Tuesday, Wednesday), (Wednesday, Thursday), (Thursday, Friday), (Friday, Saturday), (Saturday, Sunday)}. Total number of elementary events = 7
Now, in order that year selected at random should contain 53 Friday, one of the left 2 days must br Friday. This can happen in any one of the two ways.
(Thursday, Friday) or (Friday, Saturday) `therefore` Number of favourable events = 2
Thus, required probability = `(2)/(7)`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    AAKASH INSTITUTE ENGLISH|Exercise TRY YOURSELF|42 Videos

  • PROBABILITY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - A Competition Level Questions)|114 Videos

  • PRINCIPLE OF MATHEMATICAL

    AAKASH INSTITUTE ENGLISH|Exercise Section-D:(Assertion-Reason Type Questions)|11 Videos

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - J) Aakash Challengers Questions|8 Videos

Similar Questions

Explore conceptually related problems

The cumulative histrogram above shows the distribution of scores that 24 students received on an English test. If a students is selected at random, what is the probability that the student will have a score between 71 and 80?

If a leap year is selected at random, what is the chance that it will contain 53 Tuesdays?

What is the probability that a leap year has 52 Mondays?

A class has 12 boys and 4 girls. If three students are selected at random from the class, what is the probability that all will be boys?

What is the probability that an ordinary year has 53 sundays?

The histogram above shows the distribution of 30 test scores. If test score is selected at random, what is the probability that the score falls in the interval that contains the median score?

Rent-a-Rek has 27 cars available for rental. Twenty of these are compact, and 7 are midsize. If two cars are selected at random, what is the probability that both are compact?

A recent survey found that the edges ages of workers in a factory as follow. If a person is selected at random, find the probability that the person is

A survey of 650 men showed that only 52 of them know English. Out of these men, if one is selected at random, what is the probability that the selected man knows English.

A carton of 24 bulbs contain 6 defactive bulbs. One but is drawn at random. What is the probability that the bulbs is not defactive? If the bulb selected is defective and it is not replaced and a second bulb is selected at random from the rest, what is the probability that the second bulb is defactive?