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The Florida lottery has a game called Pick 4 where a player pays $1 and then picks a sequence of four numbers 0-9 (e.g., 1234,

The Florida lottery has a game called Pick 4 where a player pays $1 and then picks a sequence of four numbers 0-9 (e.g., 1234, 0389, 9020). If the four numbers come up in the order you picked, then you win $2700. a) Write the probability distribution for a player's winnings.

Fill in the table below. Enter the left column values from smallest to largest. Round solutions to four decimal places, if necessary.

xx

P(x)P(x)

b) What are your expected winnings? Round the solution to two decimal places (since this value is interpreted as dollars). E(x)=E(x)= c) Which of the following is the correct interpretation of the expected winnings?

Select an answer If you play Pick 4 many times, you can expect to win -0.73 dollars per game Every time you play Pick 4, you will win -0.73 dollars Every time you play Pick 4, you will lose

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