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Probability Test (Form A) GOOD LUCK TO _______________________

Alg II Per._______Date______________

Determine which type of problem involves order and which does not. Then determine which type of problem is always greater than the other.

1. [pic] 2. [pic] 3. [pic]

4. Determine how many different computer passwords are possible if (a) the digits and letters can be repeated, and (b) if the digits and letters cannot be repeated.

I) 4digits followed by 2 letters II) 5 digits followed by 1 letter 9. 5 letters followed by 1 digit

5. How many different batting orders does a baseball team of nine players have if the pitcher must bat last and the catcher must bat third?

6. Given the probability of eating a steak is 9/13, find the

a) odds of eating a steak b) odds of not eating a steak

7. Given the odds of the Lakers of winning the NBA finals are 5:4, find the probability they will

a) win the title b) not will the title!!! My worst nightmare!

8. There are 3 red, 3 white, and 4 green marbles in a bag. What is the probability that you will draw a green marble?

9. Continuing from the same scenario in problem 8, you have successfully pulled out a green marble without putting it back in the bag. What is the probability that you will draw a red marble?

10. Suppose you find 7 articles related to the topic of your research paper. In how many ways can you choose five of the articles to read?

11. How many different nine-player batting orders can be selected from a baseball squad of 16?

12. How many ways can you choose three different kinds of candies from an assortment with 7 different kinds and five sodas from a choice of 11?

13. Find the number of ways you can choose five cards of 1 suit, 3 cards of another suit, and 8 cards of the third suit.

14. Suppose you have 6 pairs of shoes, 3 hats, 5 pairs of pants, and 8 shirts in your closet. How many different

outfits can you make?

15. Find the probability of getting a king and then an eight. Assume the cards are not replaced.

16. Find the probability of getting a queen and a red card.

17. In how many ways can a president and vice president be selected from a club of 20 students? Show all work!

A) 20 B) 39 C) 40 D) 380

MULTIPLE CHOICE

14. In how many ways can a president and vice president be selected from a club of 20 students?

A) 20 B) 39 C) 40 D) 380

15. You have an equally likely chance of choosing any number from 1 to 10. What is the probability that you choose a number greater than 6?

A) [pic] B) [pic] C) [pic] D) [pic]

16. On a multiple choice test question, you know that the answer is not B or D, but you are not sure about A, C, or E. What is the probability that you will get the right answer if you guess?

A) [pic] B) [pic] C) [pic] D) [pic]

CUMULATIVE REVIEW

17. Simplify: [pic] 18. Find the product: [pic]

19. Solve the equation: [pic] 20. Condense the expression: [pic]