kcmullen2002
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Teri and Lee are playing a game that consists of consists of spinning a spinner with eight equal spaces numbered 1 through 8, and then flipping two coins at the same time.
Terri wins 10 points if the spin is greater than 5 and the coins are different (one head and one tail).
Lee wins 15 points if the spin is an even number and the coins are both tails.
Is the game is fair or unfair? Why?

A.The game is not fair, because Terri’s expected value is 10(4/8)(2/4)=2.5 and Lee’s expected value is 15(4/8)(1/4)=1.875.
B.The game is fair, because Terri’s expected value is 10(3/8)(2/4)=1.875 and Lee’s expected value is 15(4/8)(1/4)=1.875.
C.The game is not fair, because Terri’s expected value is 10(38)(13)=1.25 and Lee’s expected value is 15(4/8)(1/3)=2.5.

Answer :

mhanifa

Answer:

  • B. The game is fair, because Terri’s expected value is 10(3/8)(2/4)=1.875 and Lee’s expected value is 15(4/8)(1/4)=1.875.

Step-by-step explanation:

Probabilities

Teri

  • 10 points for spin > 5 and 2 coins are different
  • 3 spins out of 8 and 2 outcomes out of 4
  • 10*(3/8)*(2/4) = 1.875

Lee

  • 15 points for spin is even number and 2 coins are both tails
  • 4 spins out of 8 and two same outcomes
  • 15*(4/8)*(1/2*1/2) = 1.875

The game is fair as per the outcome above

Correct option is B.

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