English
Hindi

Question

Download Solution PDF

Probability that a leap year selected at random containing 53 Sundays, is equal to

This question was previously asked in
RPSC 2nd Grade Mathematics (Held on 30th June 2017) Official Paper
Download PDF Attempt in App
View all RPSC Senior Teacher Grade II Papers >

Answer (Detailed Solution Below)

Option 3 :
Free Tests
View all Free tests >
Free
RPSC Senior Grade II (Paper I): Full Test 1
100 Qs. 200 Marks 120 Mins
Start Now

Detailed Solution

Download Solution PDF

Concept:

Number of days in leap year = 366

Calculation:

A week has 7 days and total days are 366.

⇒ Number of Sundays in a leap year

= 366/7

= 52 Sundays + 2 days

⇒ Total outcomes with 2 days

= (Sunday, Monday), (Monday, Tuesday), (Tuesday, Wednesday), (Wednesday, Thursday), (Thursday, Friday), (Friday, Saturday), (Saturday, Sunday)

= 7

⇒ Number of outcomes without Sundays = 5

⇒ Probability of leap year with 53 Sundays = 2/7

∴ Probability of leap year with 53 Sundays is 2/7.

The correct answer is Option 3.

Download Solution PDF
Latest RPSC Senior Teacher Grade II Updates

Last updated on Jul 18, 2025

-> The latest RPSC 2nd Grade Teacher Notification 2025 notification has been released on 17th July 2025

-> A total of 6500 vacancies have been declared.

-> The applications can be submitted online between 19th August and 17th September 2025.

-> The written examination for RPSC 2nd Grade Teacher Recruitment (Secondary Ed. Dept.) will be communicated soon.

->The subjects for which the vacancies have been released are: Hindi, English, Sanskrit, Mathematics, Social Science, Urdu, Punjabi, Sindhi, Gujarati.

Exams Tests Super Practice

More Probability Questions

Q1.A boy has 5 red balls, 3 white balls, and 2 yellow balls. What percent of balls are yellow?
Q2.In a batch Of 100 resistors Of 1kiloohm resistance, 80 numbers are within the required tolerance values and 11 numbers are below the required tolerance values, the remaining are above the required tolerance values. If two resistors are drawn one after the other without replacement, the probability of the first one drawn is below and the second one drawn is above the required tolerance value is 
Q3.There are three boxes. First box has 2 white, 3 black and 4 red balls. Second box has 3 white, 2 black and 2 red balls. Third box has 4 white, 1 black and 3 red balls. A box is chosen at random and 2 balls are drawn out of which 1 is white, and 1 is red. What is the probability that the balls came from first box?
Q4.If A, B, C are three mutually exclusive and exhaustive events such that if P(B) = \(\frac{3}{2}\)P(A) and P(C) = \(\frac{1}{2}\)P(B), then P(A) = _______
Q5.A bag contains six red balls and four blue balls. If three balls are drawn in succession without replacement, the probability that the second and third balls drawn are red is ________ (round off to two decimal places)
Q6.The value of a and b so that the following is probability mass function X: 0 1 2 P(X = x): 3a 3b 4b with mean 1.1, is:
Q7.Two data set of sizes 9 and 6 have standard deviation 3 and 4 respectively and arithmetic means 3 respectively. The standard deviation of combined data set of size 15 is
Q8.Probability that a leap year selected at random containing 53 Sundays, is equal to
Q9.If two events A and B such that P(A ∪ B) = \(\frac{7}{8}\) and P(A ∩ B) = \(\frac{1}{4}\) and P(A) = \(\frac{5}{8}\), then P\((\overline{A} ∪ \overline{B})\) = ?
Q10.If the life of mobile batteries is exponentially disturbed with parameter \(\lambda\) = 0.002 days, the probability that a battery will last more than 1500 days is:
Suggested Test Series
View All >
RPSC 2nd Grade Senior Teacher Mock Test Series 2025
440 Total Tests with 1 Free Tests
Start Free Test
RPSC School Lecturer Mock Test Series 2024
129 Total Tests with   9 Free Tests
Start Free Test

More Engineering Mathematics Questions

Q1.If L = {1, 2, 3, 4, 6, 9, 36} is the lattice find the number of complements 9 is having in the below given Hasse diagram?
Q2.Which of the following statements is/are TRUE for undirected graphs?
Q3.\(\iint \frac{x y}{\sqrt{1-y^{2}}} d x d y\) Over the positive quadrant of the circle x2 + y2 = 1 is __________.
Q4.The real root of the equation x3 − x − 5 = 0 lying between 1 and 2 after first iteration by Newton-Raphson method is ________, if initial approximation is taken as x0 = 2 ∈ [1, 2] : 
Q5.Let X be uniform random variable on [0, 4] and Y be uniform random variable on [0, 1]. If X and Y are independent, then P(max {X, Y} > 3) is equal to : 
Q6.If R and D are the radius and diameter of the graph K4,7, then the ordered pair (R, D) is equal to : 
Q7.The largest number of faces in a simple connected maximal planar graph with 100 vertices is :
Q8.If for the matrix A, A3 = I then A−1 = __________. 
Q9.Energy of power signal is : 
Q10.With usual notations, the properties of maxima and minima under various conditions are __________. I II (P) Maxima (i) r t− s2 = 0 (Q) Minima (ii) rt − s2 < 0 (R) Saddle Point (iii) rt − s2 > 0, r > 0 (S)  Case of failure (iv) rt − s2 > 0, r < 0
Testbook Edu Solutions Pvt. Ltd.
1st & 2nd Floor, Zion Building,
Plot No. 273, Sector 10, Kharghar,
Navi Mumbai - 410210
support@testbook.com
Toll Free:1800 833 0800
Office Hours: 10 AM to 7 PM (all 7 days)
Company
About usCareers We are hiringTeach Online on TestbookPartnersMediaSitemap
Products
Test SeriesTestbook PassOnline CoursesOnline VideosPracticeBlogRefer & EarnBooks
Copyright © 2014-2022 Testbook Edu Solutions Pvt. Ltd.: All rights reserved
User PolicyTermsPrivacy
Hot Links： dhani teen patti teen patti online game teen patti gold download