1.What is the probability that a leap year has 52 Mondays?

2.Two numbers 'a' and 'b' are selected successively without replacement in that order from integers 1 to 10.The probability that a\b is an integer is 

 

Asked by officialmehak26 | 3rd Feb, 2020, 03:02: PM

Expert Answer:

What is the probability that a leap year has 52 Mondays?
A leap year has 366 days i.e. 366/7 = 52 weeks and 2 days
These 2 days could be any of the following: Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday
No. of total outcomes = 7
Let A be the event that the 53rd week does not have Monday, so it will also not have Sunday
So, the favorable outcomes are Tuesday, Wednesday, Thursday, Friday, Saturday
Number of favorable outcomes = 5
H e n c e comma space t h e space p r o b a b i l i t y space t h a t space a space l e a p space y e a r space h a s space 52 space M o n d a y s space equals space 5 over 7

Answered by Renu Varma | 5th Feb, 2020, 10:34: AM