Question

Suppose a lottery exists in which you need to select five different numbers, from the numbers 1 to 50 , to win. The order you select the numbers doesn't matter. If you buy one ticket for this lottery, what is the probability you would win?

Answer 1

The probability of winning a lottery by selecting five different numbers from 1 to 50 is approximately 0.00472%, calculated using combinations since the order does not matter.

Step-by-step explanation:

The probability of winning a lottery where you need to select five different numbers from 1 to 50 can be calculated using combinations, as the order in which the numbers are selected does not matter. The total number of ways to choose 5 numbers from 50 is given by 50 choose 5, which is calculated as 50! / (5! * (50 - 5)!). This yields 2,118,760 possible combinations. Since there is only one winning combination, the probability of winning with one ticket is 1 / 2,118,760, which is approximately 0.0000472 or 0.00472%.