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1. A quiz consists of 2 true-or-false questions and 3 multiple choice questions. The multiple choice questions have 3 options each. I got that there

1. A quiz consists of 2 true-or-false questions and 3 multiple choice questions. The multiple choice questions have 3 options each. I got that there are 108 ways a student could complete the quiz.

2. A secret code consists of 3 digits, followed by 2 letters, followed by 1 of the following symbols: @, #, and &. Digits and letters cannot repeat. I got that there are 1,950,000 secret codes possible.

3. How many distinct arrangements can you make using the letters in the word DEGREE? I got 240.

4. How many ways can a dance instructor send 6 of her 9 students to a summer dance program? I got 84.

5. There are 4 keys on a keychain. One of the keys starts a car. A key is randomly chosen. What is the probability that it starts the car? I think it's a 25% chance.

6.

A track coach made a two-way table to show his runners' gender and running category.
Sprints

Middle

Distance

Long

Distance

Male 16 11 9
Female 12 14 5
To the nearest hundredth, what is the probability that a randomly chosen middle-distance runner is female?

I think it's .56.

7. The probability of choosing a winning card from a stack of cards is 3.8%. What is the probability of choosing a losing card? I think it's 96.2.

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