Key Concepts in Probability and Events

What does a sample space represent in probability?

• The probability of an event occurring

• A specific outcome of an event

• The area outside of an event

• The set of all possible outcomes for a problem

What is the union of two events E1 and E2?

• The complementary outcomes of E1 and E2

• The outcomes exclusive to E1 and E2

• The probability that either E1 or E2 will occur

• The joint occurrence of E1 and E2

What does it mean if two events are mutually exclusive?

• They can occur at the same time

• They are dependent on each other

• They cover all possible outcomes

• They cannot occur at the same time

What does it mean if events are collectively exhaustive?

• They can occur at the same time

• They cover all possible outcomes

• They are dependent on each other

• They cannot occur at the same time

What is the probability of the sample space?

• Greater than 1

• 1

• Less than 1

• 0

What is the probability of a complementary event if the event has a probability of 40%?

• 100%

• 60%

• 50%

• 40%

What is the probability of the union of two mutually exclusive events E1 and E2?

• One

• Zero

• The product of their individual probabilities

• The sum of their individual probabilities

What is the conditional probability of E2 given E1?

• The probability of E2 if E1 has already occurred

• The joint probability of E1 and E2

• The probability of E1 and E2 occurring independently

• The probability of E1 given E2 has occurred

What does statistical independence between two events imply?

• The probability of one event is dependent on the occurrence of the other

• The occurrence of one event does not affect the probability of the other

• Both events have the same probability of occurring

• The occurrence of one event eliminates the possibility of the other

How is the joint probability of two independent events calculated?

• By subtracting one probability from the other

• By adding their probabilities

• By dividing one probability by the other

• By multiplying their probabilities