Craps is a popular casino game in which a player throws two dice and bets on the outcome (the sum total of the dots showing on the upper faces of the two dice). Consider a $5 wager. On the first toss (called the come-out roll), if the total is 7 or 11 the roller wins $5. If the outcome is a 2, 3, or 12, the roller loses $5 (i.e., the roller wins −$5). For any other outcome (4, 5, 6, 8, 9, or 10) a point is established and no money is lost or won on that roll (i.e., the roller wins $0). In a computer simulation of repeated tosses of two dice, the outcome x of the come-out roll wager (- +5, +0, or + +5) was recorded. A relative frequency histogram summarizing the results is shown in Figure 4.4. Use the histogram to find the approximate probability distribution of x.
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