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A standard slot machine has three reels. The first reel has 3 walnuts, 7 cherries, 3 oranges, 5 lemons, 1 bell, and 1 jackpot bar. The second reel has 7 cherries, 6 oranges, 1 lemon, 3 bells, and 3 bars. The third reel has 4 walnuts, 7 oranges, 5 lemons, 3 bells and 1 bar. The payoffs are

Reel 1 Reel 2 Reel 3 Payoff in Coins

Bar Bar Bar 85
Bell Bell Bar 18

Bell Bell Bell 18

Lemon Lemon Bar 14

Lemon Lemon Lemon 14

Orange Orange Bar 10

Orange Orange Orange 10

Cherry Cherry Bell 5

Cherry Cherry Walnut 5

Cherry Cherry Any other 3

a) What is the expected payoff if each picture on each reel is equally likely to appear?

b) In the long run, what fraction of every dollar bet will this one-armed bandit keep?

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M9370191

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