Problem Solver

[Guest]

The numbers 3,4,5, and 6 are written on four cards. If one number is randomly chosen as the numerator of a fraction and another is randomly chosen as the denominator of the fraction, what is the probability that the fraction is greater than one and lass than one and a half?

 

[Denis]

Write down the possible fractions; there's 12; each number is a numerator 3 times:
3/4, 3/5, 3/6, ... 6/3, 6/4, 6/5.

You'll see that 6 of them are smaller than 1: throw 'em out!

How many of the other 6 are lesser than 1 1/2 ?

ok?