Question

In the tri-state megabucks lottery, a player chooses six different numbers from 1 to 40, hoping to match all six numbers to be randomly drawn that week. the order in which the numbers are drawn is unimportant. what is the probability of winning this lottery?

Answer 1

We must use this formula: n! / [r! * (n-r)!]

40! / 6! * 34! = (40 * 39 * 38 * 37 * 36 * 35) / 6! which equals

2,763,633,600 / 720 = 3,838,380 ways you can choose 6 numbers out of forty.

So, the probability of winning equals 1 / 3,838,380 whch equals

0.00000026052657631605

Source: 1728.com/combinat.htm