1) A Pumpkin Patch has 30 employees but only 8 employee assigned parking spots. The rest of the employees must take a shuttle. Each month the company randomly assigns the parking spots to their employees. How many different ways can these parking spots be assigned?
2) ABC Corporation instructed their employees to immediately change their passwords. All Windows passwords must be 6 characters long. The only rules employees must follow are: the first 2 characters must be numbers, the second 2 characters must be letters (the password is not case sensitive), the fifth character can be either a letter or a number, and the last character can be either an exclamation point or a question mark. How many different passwords can be created?
3) Omaha’s Annual Scavenger Hunt competition has 30 finalists competing to win one of the top 3 prizes. Third prize is an annual gym membership, the second prize is an iPad, and the first prize is an Apple Watch. How many different ways can the prizes be awarded?
4) A car dealership has found that the probability that a car sold at their shop is a Ford is 0.4. The probability that the car is any other brand is 0.6. The probability that the car is a manual ignition car given it is a Ford is 0.2. The probability that it is a manual ignition car given it is any other brand is 0.3. What is the probability that any given car sold is a manual ignition car?
5) If events A and B are independent events, and P(A) = 0.6 P(B) = 0.3, what is P(A|B)?
6) Which of the following is not a true statement?
A. The sum of all probabilities for the events in the sample space must equal 100 percent.
B. The probability of an event must be between 0 and 1.
C. The compliment of an event is equal to 1 minus the probability of that event.
If the probability of an event does not equal 1, that event will not occur