Question 1176431
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The other tutor answered a different problem, using a pair of dice instead of a single die.<br>
Since the die is fair, the probabilities of each number coming up are the same.  So the expected value is the average gain or loss if the game is played 6 times and you get each number once.<br>
In doing that, you pay $18 ($3 for each of the 6 rolls) and you get $10 back.  You played the game 6 times and lost $8; your average gain/loss is (-18+10)/6 = -4/3.<br>
ANSWER: your expected value is -4/3, meaning on average you will lose about $1.33 each time you play.<br>