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

Answer:

4/35 lottery is easier to win.

Step-by-step explanation:

For the 5/48 lottery, the winning probability is $\frac{5}{48}$ ≈0.1042

For the 4/35 lottery, the winning probability is $\frac{4}{35}$ ≈ 0.1143

Since $\frac{4}{35}$  >  $\frac{5}{48}$ , the lottery where one chooses 4 of the numbers 1 through 35 is easier to win.