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Exercise 4

Avg difficulty 2.5

A friend devises a game that is played by rolling a single six-sided fair (each side has equal probability of landing face up, once rolled) die once. If you roll a 1, he pays you $5; if you roll a 2, he pays you nothing; if you roll a number more than 2, you pay him $2.

  1. Make a probability model for this game.

  2. Compute the expected value for this game.

  3. Should you play this game?

Lee et al., Math in Society, §4.3 Expected Value, Exercise 4

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Adapted from Math in Society © 2018–2024 Portland Community College Math Instructors. Licensed under CC BY-SA 4.0. Source: Math in Society. Imported at revision 68ee43c.