Question

A 5 divided by 48 lottery involves choosing 5 of the numbers from 1 through 48 and a 4 divided by 35 lottery involves choosing 4 of the numbers 1 through 35. The order in which the numbers are chosen does not matter. Which lottery is easier to​ win? Explain your answer

Answer 1

4/35 lottery is easier to win.

Explanation:

For the 5/48 lottery, the winning probability is
`(5)/(48)` ≈0.1042

For the 4/35 lottery, the winning probability is
`(4)/(35)` ≈ 0.1143

Since
`(4)/(35)` >
`(5)/(48)` , the lottery where one chooses 4 of the numbers 1 through 35 is easier to win.