1) A bag contains 12 cards numbered 1 through 12. A card is randomly selected from the bag. What is the probability that the card has an odd number

1) A bag contains 12 cards numbered 1 through 12. A card is randomly selected from the bag. What is the probability that the card has an odd number on it?

answer as a fraction in simplest form.

2) A student ran out of time on a multiple choice exam and randomly guessed the answers for three problems. Each problem has four choices - a, b, c, d - and only one correct answer. What is the probability that the student answered all three questions correctly? answer as a percentage rounded to the tenths.

3) A bag contains 3 red and 5 white balls. Three balls are randomly drawn from the bag in succession, with replacement. That is, after each draw, the ball is returned to the bag. What is the probability that all three balls drawn are red? Your answer should be a percentage rounded to the nearest tenth.

4) At a certain high school, 47% of the students are female and 32% of the students are taking Biology. Furthermore, 11% of the students are both female and taking Biology.

(a) What is the probability that a randomly selected female is taking Biology? Round your answer to 2 decimal places.

(b) What is the probability that a randomly selected student taking Biology is female? Round your answer to 2 decimal places.

5) The first three terms of a geometric sequence are as follows:

-10, 20, -40

Find the next two terms of the sequence.

6) For the sequence provided, determine whether it appears to be arithmetic, geometric, or neither.

3, 9, 27, 81, ...

7) For the sequence provided, determine whether it appears to be arithmetic, geometric, or neither.

3, 9, 15, 21 ...

8) For the sequence provided, determine whether it appears to be arithmetic, geometric, or neither.

3, 9, 18, 36 ...

9) Find the 12th term of the following geometric sequence.

2, 4, 8, 16, ...

10) Write an explicit formula for the following sequence.

3, 6, 9, ....