In the Texas Pick 3 lottery, you can bet $1 by selecting three digits, each between 0 and 9 inclusive. If the same three numbers are drawn in the same order, you win and collect $500. (a) How many different selections are possible? (b) What is the probability of winning? (c) If you win, what is your net profit? (d) Find the expected value of your net profit. (e) If you bet $1 on the pass line in the casino dice game of craps, the expected value of net profit is -$0.4. Which is better: a $1 bet in the Texas Pick 3 game or a $1 bet on the pass line in craps? Explain. (f) If you bet $1 on the pass line in the casino dice game of craps, the expected value of net profit is -$0.5 and the standard deviation is $20. Which is better: a $1 bet in the Texas Pick 3 game or a $1 bet on the pass line in craps? Explain.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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In the Texas Pick 3 lottery, you can bet $1 by selecting three digits,
each between 0 and 9 inclusive. If the same three numbers are
drawn in the same order, you win and collect $500.
(a) How many different selections are possible? (b) What is the
probability of winning? (c) If you win, what is your net profit? (d) Find
the expected value of your net profit.
(e) If you bet $1 on the pass line in the casino dice game of craps,
the expected value of net profit is -$0.4. Which is better: a $1 bet in
the Texas Pick 3 game or a $1 bet on the pass line in craps? Explain.
(f) If you bet $1 on the pass line in the casino dice game of craps, the
expected value of net profit is -$0.5 and the standard deviation is
$20. Which is better: a $1 bet in the Texas Pick 3 game or a $1 bet on
the pass line in craps? Explain.
Transcribed Image Text:In the Texas Pick 3 lottery, you can bet $1 by selecting three digits, each between 0 and 9 inclusive. If the same three numbers are drawn in the same order, you win and collect $500. (a) How many different selections are possible? (b) What is the probability of winning? (c) If you win, what is your net profit? (d) Find the expected value of your net profit. (e) If you bet $1 on the pass line in the casino dice game of craps, the expected value of net profit is -$0.4. Which is better: a $1 bet in the Texas Pick 3 game or a $1 bet on the pass line in craps? Explain. (f) If you bet $1 on the pass line in the casino dice game of craps, the expected value of net profit is -$0.5 and the standard deviation is $20. Which is better: a $1 bet in the Texas Pick 3 game or a $1 bet on the pass line in craps? Explain.
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