Engineering Board Exam Reviewer · Odds and Mathematical Expectation · medium

A spinner pays P0 with probability 0.5, P20 with probability 0.3, and P100 with probability 0.2. What is the fair price to play?

  1. P26
  2. P40
  3. P120
  4. P13

Answer

A. P26

Solution

The fair price equals the expected payoff: 0.5(0)+0.3(20)+0.2(100)=6+20=P26.

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