# Math

A game is played using one dice. If the dice is rolled and shows 1, the player wins \$1; if it shows 2, the player wins \$2; if it shows a 3, the player wins \$3. If the die shows 4,5,or 6 the player wins nothing.

a.) If there is a charge of \$1.25 to play the game, what is the game's expected "gain or loss" for a player?

b.) Suppose a player decided to play this game 100 times, how much would the player expect to gain or lose?

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1. mean win = (1+2+3+0+0+0) = 6/6 = \$1

so lose .25 per toss

so lose \$25 for 100 games

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2. Two ordinary dice are tossed 360 times.
How many double 4s are there likely to be?

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