Exploring Probability Concepts in AP Statistics

What does it mean when two events are mutually exclusive?

• They must occur together

• They have no outcomes in common

• They are dependent on each other

• They cannot occur at the same time

How many possible outcomes are there when three coins are tossed?

• 8

• 9

• 6

• 3

What is the probability of getting exactly two tails when three coins are tossed?

• 3/8

• 1/2

• 3/4

• 1/4

In a deck of cards, what is the probability of drawing a heart or a jack?

• 17/52

• 16/52

• 4/52

• 13/52

Are the events 'selecting a student enrolled in statistics' and 'selecting a student enrolled in physics' mutually exclusive?

• Cannot be determined

• No

• Only if the student chooses so

• Yes

What is the probability of selecting a male or a Democrat from a group consisting of 18 people with given demographics?

• 14/18

• 7/18

• 9/18

• 15/18

If the probability of an earthquake occurring is 0.005 and the probability of a fire given an earthquake is 0.2, what is the joint probability of both events?

• 0.001

• 0.2

• 0.01

• 0.1

Using a joint probability distribution, what is the probability of event B occurring?

• 0.27

• 0.25

• 0.42

• 0.31

Are the events B and C independent given their joint and individual probabilities?

• Insufficient data

• No

• Depends on event A

• Yes

What is the probability that a randomly selected flu patient is a senior citizen, given the provided flu statistics?

• 14%

• 31%

• 24%

• 12.5%