1) One ball is drawn from a bag containing 8 red balls numbered and 9 white balls numbered 10-16. Find the following probabilities. (Enter your probabilities as fractions.)(

a) What is the probability the ball is red ? (b) What is the probability that the ball is green ? (c) What is the probability that it is red or white ?

5)One card is drawn from a deck of 16 cards numbered 1 through 16. Find the following probabilities. (Enter your probabilities as fractions.)

(a) Find the probability that the card is even and divisible by 3. b) Find the probability that the card is even or divisible by 3.

6) If the probability that eventEwill occur is 1/13, what is the probability thatEwill not occur? (Enter your probability as a fraction.)

7) Of 100 students, 28 can speak French, 16 can speak German, and 6 can speak both French and German. If a student is picked at random, what is the probability that he or she can speak French or German? (Enter your probability as a fraction.)

2) An urn contains three red balls numbered 1, 2, 3, three white balls numbered 4, 5, 6, 7,8 and two black balls numbered 9, 10. A ball is drawn from the urn. (Enter your probabilities as fractions.)(

a) What is the probability that it is red? (b) What is the probability that it is odd-numbered? (c) What is the probability that it is red and odd-numbered? (d) What is the probability that it is red or odd-numbered? (e) What is the probability that it is not black?

4. If the odds that a particular horse will win a race are 1:14, what is the probability of the following? (Enter your probabilities as fractions.)(

a) that the horse will win the race (b) that the horse will lose the race

8. A bag contains 9 red balls numbered 1, 2, 3, 4, 5, 6, 7, 8, 9 and 6 white balls numbered 10, 11, 12, 13, 14, 15. One ball is drawn from the bag. What is the probability that the ball is white given that the ball is even numbered? (Enter your probability as a fraction.)

9. A bag contains 5 red balls and 3 white balls. Two balls are drawn without replacement. (Enter your probabilities as fractions.)

(a) What is the probability that the second ball is white, given that the first ball is red? (b) What is the probability that the second ball is red, given that the first ball is white? (c) Answer part (a) if the first ball is replaced before the second is drawn.

10. A box contains 3 red balls, 2 white balls, and 5 black balls. Two balls are drawn at random from the box (with replacement of the first before the second is drawn). What is the probability of getting a red ball on the first draw and a white ball on the second? (Enter your probability as a fraction.) (b) Answer part (a) if the first ball is not replaced before the second is drawn. (Enter your probability as a fraction.)

12. A sailboat owner received 6 different signal flags with his new sailboat. If the order in which the flags are arranged on the mast determines the signal being sent, how many 5-flag signals can be sent? 5 -flag signals

13. An examination consists of 13 questions. If 9 questions must be answered, find the number of different orders in which a student can answer the questions. orders

16. If 12 people are qualified for the next flight of a new space vehicle, how many different groups of 4 people can be chosen for the flight? groups