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# (Solved): 3 pts Details A city has a game called Pick 4. Each player pays \$6 and picks one four-digit number ( ...

3 pts Details A city has a game called Pick 4. Each player pays

`\$6`

and picks one four-digit number (from 0000 to 9999 , so there are ten thousand possible choices). If the number you pick is randomly selected, then you win

`\$2100`

. a) Fill in the table below to create a discrete probability distribution for a player's winnings. Give probabilities as fractions. \table[[,Lose,Win],[

`x`

,,],[

`P(x)`

,,]] b) If someone plays this game, what is their expected value?

`E=\$`

`◻`

c) Given a game with slightly different information, Jeremiah decides that the expected value of their game is

`\$-1.18`

. (Don't be concerned if this is not what you found; it's a different game.) Which of the following would be the correct interpretation of this? Every time you play Jeremiah's lottery you will lose

`\$1.18`

. Every time you play Jeremiah's lottery you will win

`\$1.18`

. If you play Jeremiah's lottery many times, you can expect to lose an average of

`\$1.18`

per game. If you play Jeremiah's lottery many times, you can expect to win an average of

`\$1.18`

per game. Every time you play Jeremiah's lottery you will lose. Every time you play Jeremiah's lottery you will win.

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