Question

What is the probability of randomly drawing an odd number between 24 and 33?

Answer 1

Write out the numbers between 24 and 33:  {24, 25, 26, 27, 28, 29, 30, 31, 32, 33}

How many numbers have we here?  10.

How many of these numbers are odd?  {25, 27, 29, 31, 33}

Strictly speaking, "between 24 and 33" does not include {24, 33}.

Thus, the odd numbers between 24 and 33 are {25, 27, 29, 31}

The chances of drawing an odd number between 24 and 33 are then 4 / 10.

If, however, we omit the endpoints 24 and 33, then there are 8 numbers between 24 and 33:  {25, 27, 29, 31}

and the odds of choosing an odd number from these eight numbers is 4/8, or 1/2, or 0.50.