Question

In one​ lottery, a player wins the jackpot by matching all five numbers drawn from white balls​ (1 through 45​) and matching the number on the gold ball​ (1 through 32​). If one ticket is​ purchased, what is the probability of winning the​ jackpot?

Answer 1

39,096,288

Explanation:

as we know that

The number of ways to pick 5 numbers from 45 are

`45C_5`

`(45*44*43*42*41)/(5*4*3*2*1)|`

= 1,221,759.

There are 32 ways to pick a gold ball so total number of ways to get 6 matching numbers is

1221759×32

= 39,096,288