A slot machine has 3 slots. For each slot, the possible outcomes are an apple, orange, lemon,
Question:
When you play this slot machine, how many possible outcomes are there?
How many ways could you win with 3 jokers?
How many ways could you win with 3 of a kind which were not jokers?
How many ways could you win with 2 jokers?
( Hint: Consider the following: Outcomes of (Joker,Joker, Fruit) + (Joker, Fruit, Joker) + (Fruit, Joker, Joker))
How many ways could you win with 1 joker?
( Hint: Consider the following: Outcomes of (Joker, Fruit, Fruit) + (Fruit, Joker, Fruit) + (Fruit, Fruit, Joker))
Suppose the slot machine pays out the following amounts (after you've put your coin in the machine) for each type of win:
Type of Win Payoff 3 Jokers 30 3 Fruit 10 2 Jokers 4 1 Joker 1 Let X represent your net winnings when you place one coin in the machine. Construct a probability table for the various values of X. (Enter your values of X in numerical order from highest to lowest and use at least 5 decimal places for your probabilities.) Hint: Net Winnings = Payoff -What you paid
Value of X Probability
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On average, how many coins do you expect to win each time you play? (rounded to 4 decimals)
Will you ever actually win/lose this amount?
If you were to play this slot machine 1500 times, how many coins would you expect to win? (rounded to 1 decimal)
Stats Data and Models
ISBN: 978-0321986498
4th edition
Authors: Richard D. De Veaux, Paul D. Velleman, David E. Bock