Question

Attempt any two subquestions from the following. What is the probability that a year 2022 has 53 Sunday's?​

Answer 1

2022

Divisibility by 4 check

22/4 = 5.5

Not divisible by 4, so normal year

365 days in normal year

52 weeks + 1 day

For that 1 day to be a Sunday:

Probability of Sunday = Favorable Outcome/All Outcomes

= 1/7

So the probability that 2022 has 53 Sundays is 1/7

Hope this Helped!

Answer 2

The probability that the year 2022 has 53 Sundays is 1/7

Given :

The year 2022

To find :

The probability that the year 2022 has 53 Sundays

Solution :

Step 1 of 3 :

Find total number of possible outcomes

2022 is a non leap year

2022 has 365 days

365 days = 52 weeks 1 day

Now 52 weeks contains 52 Sundays

1 day can be any one of the below

Sunday , Monday , Tuesday , Wednesday , Thursday , Friday , Saturday

So total number of possible outcomes = 7

Step 2 of 3 :

Find total number of possible outcomes for the event

Let A be the event that the year 2022 has 53 Sundays

So the event point for the event A is Sunday

So total number of possible outcomes for the event A is 1

Step 3 of 3 :

Find the probability

Hence the required probability

= P(A)

$\displaystyle \sf{ = \frac{Number \: of \: favourable \: cases \: to \: the \: event \: A }{Total \: number \: of \: possible \: outcomes }}$

$\displaystyle \sf{ = \frac{1}{7} }$

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