The probability that a leap year selected at random contains either 53 Sundays o

Sail E0 Webinar

Question

The probability that a leap year selected at random contains either 53 Sundays or 53 Mondays is ____.

Options:

A . 27

B . 47

C . 37

D . 17

Answer: Option C
:
C
A leap year consists of 366 days comprising of 52 weeks and 2 days. There are 7 possibilities for these 2 extra days.
(i) Sunday, Monday
(ii) Monday, Tuesday
(iii) Tuesday, Wednesday
(iv) Wednesday, Thursday
(v) Thursday, Friday
(vi) Friday, Saturday
(vii) Saturday, Sunday
Let us consider two events :
A : the leap year contains 53 Sundays
B : the leap year contains 53 Mondays.
Then we have

P (A) = \frac{2}{7}, P (B) = \frac{2}{7}, P (A \cap B) = \frac{1}{7}

∴

Required probability =

P (A \cup B)

= P (A) + P (B) - P (A \cup B) = \frac{2}{7} + \frac{2}{7} - \frac{1}{7} = \frac{3}{7}

Was this answer helpful ?

Next Question

Submit Solution

More Questions on This Topic :

Question 1. If A and B are two events such that P(A) = 12 and P(B) = 23, then....

Question 2. One hundred identical coins, each with probability p of showing up heads are tossed once. If 0 < p < 1 ....head showing 51 coins, then the value of p is

Question 3. Urn A contains 6 red , 4 white balls and urn B contains 4 red and 6 white balls. One ball is drawn from the urn A ....the probability that it is found to be red is

Question 4. Let A, B , and C be three independent events with P(A)=13,P(B)=12, and P(C)=14. . The probability of exactly 2....of exactly 2 of these events occurring, is equal to

Question 5. In a multiple choice question there are four alternative answers of which one or more than one is or are correct.&....that he will get marks on it is given by

Question 6. Two events A and B have the probabilities 0.25 and 0.5 respectively. The probability that both A and B simultaneou....probability that neither A and nor B occurs is ___.

Question 7. The probabilities of three mutually exclusive events A, B, C are given by 23,14, and 16 respectively. This sta....A, B, C are given by 23,14, and 16 respectively. This statement

Question 8. A father has three children with at least one boy. The probability that he has two boys and one girl is....

Question 9. From a bag containing 9 distinct white and 9 distinct black, 9 balls are drawn at random one by one, the dra....four balls of each colour is in the draw, is

Question 10. Team A plays with 5 other teams exactly once. Assuming that for each match the probabilities of a win, draw and loss are....probabilities of a win, draw and loss are equal, then

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

Chapter 3.1 : Overview of Finance & Accounts Department Chapter 3 : Finance & Accounts SAIL E0 - GFM 2024

Chapter 2.1 : Overview Chapter 2 : Materials Management SAIL E0 - GFM 2024

Chapter 1.1 : Personnel Functions- An overview Chapter 1 : Personnel Management SAIL E0 - GFM 2024

GPOE / GPA Combined 1 Free CBT Mock Test SAIL E0 2024

CBT Mixed Test 1 GPOE/GPA SAIL E0 2024