13. In a dice game, the player rolls a single die. The payouts for a dice game are given below: roll result 1, 2 lose $4 3, 4, 5 lose $1 6 win $x We say a game (or process) breaks even if its expected value is zero. Find the value of x that makes this game break even.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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13. In a dice game, the player rolls a single die. The payouts for a dice game are given
below:
roll
result
1, 2
lose $4
3, 4, 5 lose $1
6
win $x
We say a game (or process) breaks even if its expected value is zero. Find the value of x
that makes this game break even.
Transcribed Image Text:13. In a dice game, the player rolls a single die. The payouts for a dice game are given below: roll result 1, 2 lose $4 3, 4, 5 lose $1 6 win $x We say a game (or process) breaks even if its expected value is zero. Find the value of x that makes this game break even.
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