self Maths Puzzle

What is the probability that two randomly chosen positive integers are relatively prime?

Two numbers are relatively prime if they have no common factors.

Read Solution (Total 2)

the probability that two randomly chosen positive integers are relatively prime =
6/(pi^2) = 0.608 ( approx).

Difficult to explain it here now as it is time consuming to type all details.

I shall explain later.
12 years agoHelpfull: Yes(4) No(0)

Two positive integers have equal chances that these may or may not be relatively prime.

So the probability that two randomly chosen positive integers are relatively prime is 1/2
12 years agoHelpfull: Yes(0) No(6)

self Other Question

1. A square garden has fourteen posts along each side
at equal interval. Find how many posts are there in all four
sides:
(a) 56 (b) 52 (c) 44 (d) 60 Mr.KING left KINGTOWN by car to attend a wedding at KINGCITY. He had been driving for exactly two hours when the car got punctured. It took his driver exactlyten minutes to change the wheel. In order to play safe they covered the remaining distance at a speed of 30 mph. consequently, Mr.KING was at wedding half an-hour behind schedule. Had the car got the puncture only 30 miles later , I would have been only FIFTEEN minutes late he told the driver . How Far is KINGCITY from KINGTOWN.