Exploring Probability and Set Theory Concepts

What is the primary focus of pure mathematics in relation to probability?

• Statistical analysis

• Randomness and uncertainty

• Geometric figures

• Algebraic structures

Which type of probability is based on personal belief or intuition?

• Subjective probability

• Theoretical probability

• Objective probability

• Empirical probability

How is empirical probability estimated?

• By mathematical proofs

• By repeated trials and observations

• Through theoretical frameworks

• Using subjective beliefs

What does the probability measure function assign to events?

• Algebraic expressions

• Geometric shapes

• Numerical values representing likelihood

• Fixed numerical values

What is the probability of an impossible event in a probability space?

• Undefined

• 1

• 0.5

• 0

What does the intersection of two events represent in probability?

• Outcomes common to both events

• Outcomes unique to each event

• The union of both events

• The difference between two events

What is the probability of the union of two mutually exclusive events?

• 1

• Product of their individual probabilities

• 0

• Sum of their individual probabilities

In the context of credit card ownership, what does the intersection probability represent?

• People owning only one type of card

• People owning either card

• People owning both cards

• People owning neither card

What is the probability that a randomly selected student has taken only one of the AP courses?

• 8/25

• 39/125

• 86/125

• 46/125

If a student is selected at random, what is the probability they have not taken AP Statistics?

• 14/125

• 40/125

• 71/125

• 54/125