Question

A fraction is made by  the numerator{1,3,5,7} and the denominator{2,3,4,6}. Find the probability of getting a fraction which is less than one

Answer 1

​​​​​​The probability of getting a fraction which is less than one is the sum of probabilities of using each numenator with all denominators divided by the whole number of fractions.

Using nomenator 1:  1/2,1/3,1/4,1/6 (probability 4)

Using nomenator 3:  3/2,3/3,3/4,3/6(probability 2)

Using nomenator5:  5/2,5/3,5/4,5/6(probability 1)

Using nominator7:. 7/2,7/3,7/4,7/6 (probability 0)

The whole number of fractions =16

The probability of getting a fraction which is less than one=

(4 + 2 +1+0)/16=7/16.