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?

Respuesta :

Answer:

39,096,288

Step-by-step explanation:

as we know that

The number of ways to pick 5 numbers from 45  are

[tex]45C_5[/tex]

[tex]\frac{45\times44\times43\times42\times41}{5\times4\times3\times2\times1}|[/tex]

= 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