Question

The probability that in a year of 22nd century chosen at random, there will be 53 Sunday, is ______.

Options

• 3/28

• 2/28

• 7/28

• 5/28

• None of the

Answer 1

The probability that in a year of 22nd century chosen at random, there will be 53 Sunday, is `underlinebb(5/28)`. 

Explanation:

We know, a leap year is fallen within 4 years, so probability `= 25/100 = 1/4`

In a century, the probability of 53 Sundays in a leap year = `1/4 xx 2/7 = 2/28`

Non-leap year in a century = 75

Probability of selecting a non-leap year `= 75/100 = 3/4`

Probability of 53 Sundays in a non-leap year = `1/7`

Similarly, in a century, the probability of 53 Sundays in a non-leap year = `3/4 xx 1/7 = 3/28`

∴ Required Probability = `2/28 + 3/28 = 5/28`