1. 8.7 Probability

2. Ex 1 Find the sample space for each of the following. One coin is tossed. Two coins are tossed. Three coins are tossed

3. Ex 2-4 Example 2: Two coins are tossed. What is the probability that both land heads up? Example 3: A card is drawn from a standard deck of playing cards. What is the probability that it is an ace? Example 4: Two six-sided dice are tossed. What is the probability that the total of the two dice is 7?

4. Ex 5 In a state lottery, a player chooses six different numbers from 1 to 40. If these six numbers match the six numbers drawn by the lottery commission the player wins (or shares) the top prize. What is the probability of winning the top prize?

5. Ex 6 Consider the experiment of drawing a card from an ordinary deck. Are the following events mutually exclusive? a. A. The card is kingB. The card is 10 b. C. The card is red D. The card is a 3

6. Ex 7 - 8 Example 7: One card is selected from a standard deck of 52 playing cards. What is the probability that the card is either a heart or a face card? Example 8: A standard six sided die is thrown once. What is the probability that a prime number or a multiple of 4 is thrown?

7. Ex 9 A random number generator on a computer selects three integers from 1 to 20. What is the probability that all three numbers are less than or equal to 5?

8. Ex 10 Are the following two events independent? Event A: Rolling a prime number on a standard six sided die Event B: Rolling an even number on a standard six sided die

9. Ex 11 A manufacturer has determined that a certain machine averages one faulty unit for every 1000 it produces. What is the probability that an order of 200 units will have one or more faulty units?

10. Ex 12 Two fair dice are thrown. Find the probability that one the dice shows a four given that the total of the two dice is ten.

11. Ex 13 Given P(A) =1/2, P(A/B) = 1/4 and P(A or B)=2/3, find P(B).

12. Ex 14 The probability that an applicant for a job at an advertising agency has a college degree is 80%, and the probability that the applicant has experience in the filed is 35%. If 22 % of those with college degrees have experience, what is the probability that an applicant with experience has a college degree?

13. Ex 15 A manager reports that 30% of the applicants for a position are bilingual, and 60% are female. If 45% of the female applicants are bilingual, what is the probability that a bilingual applicant is female?