Question

You get to throw a die. If you roll a 3, you win $6. If you roll a 1 or a 5, you
win $3. If you roll an even number, you lose $6. Find your expectation for this
game.

Answer 1

You have a 1/6 chance of getting $6, 1/3 (2/6) chance of getting $3, but a 1/2 (3/6) chance of losing $6. I would expect to lose money. Your chances are equal for winning $12 or losing $18.

I hope this helps. Thanks for asking.

Answer 2

Thanks a lot