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Mrs. Bothe filled out a bracket for the NCAA National Tournament. Based on her knowledge of college basketball, she has a 0.6 probability of guessing

Mrs. Bothe filled out a bracket for the NCAA National Tournament. Based on her knowledge of college basketball, she has a 0.6 probability of guessing any one game correctly.

The first answer you can express in scientific notation or as a decimal with at least three non-zero signficant digits. The second and last can be answered as decimals rounded to three places.

What is the probability she will pick all 32 of the first round games correctly?

What is the probability she will pick exactly 16 games correctly in the first round?

What is the probability she will pick exactly 16 games incorrectly in the first round?

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