The probability that a non leap year selected at random will contain 53 sundays is
a. 1/7
b. 2/7
c. 3/7
d. 5/7

Solution:

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

We know that

A non leap year has 365 days

There are 52 weeks and 1 day in 365 days

Number of sundays in 52 weeks = 52

So the one remaining day can be Sunday, Monday, Tuesday, Wednesday, Thursday, Friday and Saturday

Out of 7 days, we can have any of these days

The favourable outcome is 1 out of these 7 outcomes

Probability of getting 53 sundays in a non leap year = 1/7

Therefore, the probability that a non leap year selected at random will contain 53 sundays is 1/7.

✦ Try This: The probability that a leap year selected at random will contain 53 sundays is a. 7/366, b. 28/183, c. 1/7, d. 2/7

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 14

NCERT Exemplar Class 10 Maths Exercise 13.1 Problem 19

The probability that a non leap year selected at random will contain 53 sundays is a. 1/7, b. 2/7, c. 3/7, d. 5/7

Summary:

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. The probability that a non leap year selected at random will contain 53 sundays is 1/7

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