In a carnival game the player selects blocks one at a time w

In a carnival game, the player selects blocks one at a time, without replacement, from an urn containing two purple blocks and four yellow blocks. The game proceeds until a purple block is drawn. The player pays $3.00 to play the game, and receives $1.00 for each block drawn. Write down the probability distribution for the player\'s earnings, and find its expected value. (Hint: Use a tree diagram.)

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