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A carnival offers two versions of a game in which you win a prize when a red marble is drawn from a box. Two
A carnival offers two versions of a game in which you win a prize when a red marble is drawn from a box. Two versions of the game are offered. Game A: The box has 4 red marbles, 1 black marble and 5 green marbles. In this version of the game, you draw one marble randomly. If the marble is red then you win the prize and the game ends immediately. If the marble is green you do not get any prize and the game ends immediately. If the marble is black, then the black marble is thrown away and you are allowed to draw one more marble from the remaining marbles with red marble resulting in the prize. Game B: The game starts without a black marble, i.e., the box has 4 red marbles and 5 green marbles. In this version of the game, you draw one marble randomly. If the marble is red, then you win the prize and if the marble is green you do not get any prize. In which version of the game do you have a higher probability of winning the prize? Game A Game B O The probability of winning the prize is the same in both games.
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