Probability Review

What is the definition of a sample space?

• A sample space is the set of all possible outcomes of a probability experiment.

• A sample space is a collection of random variables.

• A sample space is the average of all outcomes in a probability experiment.

• A sample space is a method to calculate probabilities.

What is the formula for calculating the probability of an event?

• P(A) = Number of favorable outcomes / Total number of outcomes.

• P(A) = Total number of outcomes / Number of favorable outcomes.

• P(A) = Number of outcomes / Total number of events.

• P(A) = Number of favorable events / Total number of outcomes.

What is conditional probability?

• The probability of an event occurring without any conditions.

• The probability of an event occurring given that another event has already occurred, denoted as P(A|B).

• The probability of two independent events occurring together.

• The probability of an event occurring based on past occurrences.

What is the probability of rolling a 3 on a fair six-sided die?

• 1/6

• 1/4

• 1/3

• 1/2

What is the multiplication rule for independent events?

• P(A and B) = P(A) + P(B) for independent events A and B.

• P(A and B) = P(A) * P(B) for independent events A and B.

• P(A and B) = P(A) - P(B) for independent events A and B.

• P(A and B) = P(A) / P(B) for independent events A and B.

What is the addition rule for mutually exclusive events?

• P(A or B) = P(A) + P(B) for mutually exclusive events A and B.

• P(A and B) = P(A) + P(B) for mutually exclusive events A and B.

• P(A or B) = P(A) * P(B) for mutually exclusive events A and B.

• P(A or B) = P(A) - P(B) for mutually exclusive events A and B.

What is the probability of rolling a 4 and spinning green on a spinner with 4 equal sections?

• 1/8

• 1/4

• 1/16

• 1/2

What is the probability of not rolling a 5 on a fair six-sided die?

• 1/6

• 1/2

• 5/6

• 2/3

What is the probability of rolling an even number on a fair six-sided die?

• 1/3

• 1/4

• 3/6 or 1/2

• 2/6

What is the probability of drawing a red card from a standard deck of cards?

• 1/4

• 1/3

• 26/52 or 1/2

• 3/4