Let A be the event that a positive integer 1000 or less
is exactly divisible by 77.
Let B be the event that a positive integer 1000 or less
is exactly divisible by 49.
We want:
To find N(A) we divide 1000/77 = 12.98701299, and round
down to 12.
So
To find N(B) we divide 1000/49 = 20.40816327, and round
down to 20.
So
For an integer to be divisible by both 77 and 49 it has
to be divisible by 77*49 or 539, and only one positive
integer in the first 1000 positive integer that is divisible
by 539 is 539 itself. So N(A and B) = 1
So
becomes:
Answer: 0.031
Edwin