Problem

A multiple-choice test consists of 20 items, each with four choices. A student is able t...

A multiple-choice test consists of 20 items, each with four choices. A student is able to eliminate one of the choices on each question as incorrect and chooses randomly from the remaining three choices. A passing grade is 12 items or more correct.

a. What is the probability that the student passes?

b. Answer the question in part (a) again, assuming that the student can eliminate two of the choices on each question.

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