A lottery ticket costs $5. You pick 3 two-digit numbers (anything from 00 to 99) in order.

If you match the first number only, you win $200.
If you match the first two numbers and not the third, you win $5000.
If you match all three numbers, you win $100,000.
In two or more complete sentences, explain whether or not the game is fair. In your explanation, include all necessary calculations.

Question

A lottery ticket costs $5. You pick 3 two-digit numbers (anything from 00 to 99) in order.

If you match the first number only, you win $200.
If you match the first two numbers and not the third, you win $5000.
If you match all three numbers, you win $100,000.
In two or more complete sentences, explain whether or not the game is fair. In your explanation, include all necessary calculations.

thread252 · Answer

I'll explain in a short sentence so you can write it out.
the game is not fair, because the chance of hitting the number is 3/99 or 3.03% to win any amount( the chance is way higher than Pennsylvania lottery).
but to win a specific amount, the chance is even smaller, the chance are 1/99 or 1.01%