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A special deck of cards include 20 treasures and 3 skulls. The cards are shuffled and placed face down. The player turns cards face up.

A special deck of cards include 20 treasures and 3 skulls. The cards are shuffled and placed face down. The player turns cards face up. one at a time, in a random order. Whenever a treasure turns up, the player "collects" that treasure. When all three skulls turn up, the game ends and no more cards are turned up.

1. What is the expected number of treasures collected?

2. What isthe probability of collecting all 20 treasures?

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