Hello, help1!

In a new lotto game, you must choose six numbers from the numbers 1 to 25.

Six winning numbers are drawn,

. . then one supplemental number is drawn from the remaining numbers.

You win Fifth Prize if your 6 numbers contain exactly 3 of the winning numbers

. . and the supplemental number.

Find the probability of winning Fifth Prize.

There are: . ways to choose the 6 numbers

. . and choices for the supplemental number.

Hence, there are: . possible outcomes.

To win Fifth Prize:

You must have 3 of the 6 winning numbers: . ways.

You must have the supplemental number: . way.

Your other two numbers are from the 18 "losers": . ways.

Hence, you have: . ways of winning.

Therefore: .