Hello, Tomas!

I'll try to explain the "new" lottery.

Call the 5 chosen numbers "Winners". .The rest are called "Others".Now with the "new" lottery you will pick 5 numbers from 1-50

and you must pick a "dice" number 1-6.

You win most when you get 5 numbers and the "dice" number, etc. etc.

What is the probability evaluation in this case?

There are: . five-number choices,

. . and 6 outcomes for the die.

Hence, there are: . possible outcomes.

. . This is the denominator for our probabilities.

Grand Prize: "5 numbers and die"

There is 1 way to choose the 5 Winners and 1 way to choose the die-number.

Hence, there is only way to win the Grand Prize.

. .

2nd Prize: "5 numbers and not-die"

There is 1 way to choose the 5 Winners and 5 way to choose a not-die number.

Hence, there are: . ways to win 2nd Prize.

. .

3rd Prize: "4 numbers and die"

We want 4 winners and 1 Other. .There are: ways.

And we want the die-number: way.

Hence, there are: ways to win 3rd Prize.

. .

4h Prize: "4 numbers and not-die"

We want 4 winners and 1 Other: ways.

And we want a not-die number: ways.

Hence, there are: ways to win 4th Prize.

. .

5th Prize: "3 numbers and die"

We want 3 Winners and 2 Others: ways.

And we want the die-number: way.

Hence, there are: ways to win 5th Prize.

. .

6th Prize: "3 numbers and not-die"

We want 3 Winners and 2 Others: ways.

And we want a non-die number: ways.

Hence, there are: ways to win 6th Prize.

. .

As this point, I assume they areawarding any further prizes.not

If they are, I hope you have seen how the probabilities can be calculated.