Question

The probability that in a year of 22nd century chosen at random there will be 53 sundays is

Answer 1

we all know that there is one leap year in 4 years so it's probability is 25/100 is 1/4
and 53 Sunday in leap is 1/4×2/7 is 2/28
similarly probability of 53 Sunday in non leap is is 75/100×1/7 is 3/28 then probability of 53 Sunday in 22 century is 2/28+3/28 is 5/28

Answer 2

probability that in a year of 22nd century chosen at random there will be 53 sundays = 31/175

Step-by-step explanation:

22nd century

2101  to  2200

Total Year = 100

Leap Years = 2104  to  2196

= 24 Leap Years

100 - 24 = 76 Non - leap Years

Leap year has 366 Days  (52 * 7 + 2) hence   Probbaility of sunday = 2/7

Non-Leap Year has 365 Days (52 * 7 + 1) hence   Probbaility of sunday = 1/7

probability that in a year of 22nd century chosen at random there will be 53 sundays =  (24/100)(2/7)  + (76/100)(1/7)

= (48 + 76)/700

= 124/700

= 31/175

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