Question: A random sample of 12 players from the active roasters of the 30 Major League Baseball teams is to be selected and tested for the use of illegal drugs.

1. If 10% of all players are using illegal drugs at the time of the test, what is the probability that two or more test positive and fail the test?
2. If 20% of the players are using illegal drugs at the time of the test, what is the probability that two or more test positive and fail the test?
3. If 30% of all the players are using illegal drugs at the time of the test, what is the probability that two or more test positive and fail the test?

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