A box has 4 balls, labeled from 1 to 4. One ball is selected from the box. On the trial, Xavier wins 1 dollar if the lab

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A Box Has 4 Balls Labeled From 1 To 4 One Ball Is Selected From The Box On The Trial Xavier Wins 1 Dollar If The Lab 1 (114.38 KiB) Viewed 21 times

A box has 4 balls, labeled from 1 to 4. One ball is selected from the box. On the trial, Xavier wins 1 dollar if the label of the selected ball is either 1 or 2 but wins nothing otherwise. Similarly, Yoshi wins 1 dollar if the label of the selected ball is either 3 or 4, but wins nothing, otherwise. Zoe wins 1 dollar if the label of the selected ball is either 2 or 3 but wins nothing otherwise. Let X, Y, and Z denote the amounts (in dollars) won by Xavier, Yoshi, and Zoe, respectively, on the one trial. Determine the value of Pr(X=1, Y=0, Z=1).