AP Probability and Statistics

An assignment of probability must obey which of the following?

• The probability of any event must be a number between 0 and 1, inclusive.
• The sum of all the probabilities of all outcomes in the sample space must be exactly 1.
• The probability of an event is the sum of the outcomes in the sample space which make up the event.
• All of these reasons

Students at University X must be in one of the class ranks—freshman, sophomore, junior, or senior. At University X, 35% of the students are freshmen and 30% are sophomores. If a student is selected at random, the probability that her or she is either a junior or a senior is

• 30%
• 35%
• 65%
• 70%

Probability is:

• the odds of success
• the outcome of a chance event
• the chance of winning in the short run
• the long-run relative frequency of a chance outcome

A number between 0 and 1 is:

• an improper fraction
• the probability that a random event will occur
• the calories in a Whopper
• the square root of 2

The list of all possible outcomes of a random event

• infinite
• census
• outcomes
• sample space

The sum of the probabilities for all possible outcomes is

• 0
• 1
• infinite
• impossible to determine

About 7% of men in the United States have some form of red-green color blindness.  Suppose we want to simulate randomly selecting 4 U.S. adult males to determine the probability that at least one is red-green color-blind.  Which of these are correct assignments of digits for this simulation?  

• 0-7 = color-blind, 8-9 = not color-blind
• 1-6 = color-blind, 7-10 = not color-blind
• 01-07 = color-blind, 08-99&00 = not color-blind 
• 00-10 = color-blind, 11-99 = not color-blind

The probability that an event does NOT occur is

• highly unlikely
• 1 - the probability that it does occur
• a matter of opinion
• always less than the probability that it does occur

If two events are mutually exclusive, the probability that they both occur is

• 1
• 0
• 0.5
• impossible to determine

The questions on a multiple choice test each have 6 answer choices. Which model can be used to simulate randomly selecting the correct answer on a 20 question multiple choice test?

• rolling a six-sided number cube 6 times
• rolling a six-sided number cube 20 times
• spinning a spinner with 4 equal sized sections 4 times
• choosing 1 marble in a bag of 20 different colored marbles