Probability

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1. Greg is taking a multiple choice test that consists of 10 questions with 4 answers each. If he randomly chooses a response for a question, he therefore has a 0.25 probability of getting it correct. If Greg randomly chooses an answer for each of the 10 questions, what is the probability that he gets exactly 2 correct? Enter your answer as a decimal value with 4 digits of precision.

2. Compute the probability of at most 1 success in 6 trials, if the probability of success in each trial is 0.34. Enter your answer as a decimal value with 4 digits of precision.