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 ballc( 1 through 34). if one ticket is purchased, what is the probability of winning the jackpot?

Step-by-step explanation:

Given : Total white balls = 45

Number of correct balls needed to win = 5

Using combination ,

The total combination of getting 5 balls selected from 45 balls =

Total gold balls = 34

Similar;y , Number of ways to select 1 ball out of 34 =

Total number of ways of selecting 5 white balls and 1 gold balls =

Using combination formula

i.e. Total number of possible ways of selecting 5 white balls and 1 gold balls =41539806

But there is only one combination for wining the jackpot.

So the probability of winning the jackpot=

Hence, the required probability =