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At a carnival, Thian has to choose how to play a game in which two marbles are randomly selected from a bag with 2 red,
At a carnival, Thian has to choose how to play a game in which two marbles are randomly selected from a bag with 2 red, 3 blue, and 2 green marbles. If both marbles are green, Thian wins. Which method will produce a better chance of Thian winning the game? Method A: 1. Thian picks 1 marble randomly. 2. He puts the marble back. 3. Thian picks a second marble from the bag. Method B: 1. Thian picks 1 marble randomly. 2. He does not put the marble back. 3. Thian picks a second marble from bag. CLEAR CHECK Method B, because by not returning the marble, the probability of choosing the second green marble is the same as the first green marble. Method A, because there will be two green marbles in the bag for the second pick. Method B, because there will be one less marble in the bag for the second pick. Both methods have the same chance of occurring
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