Probability Review

If Bag A has 9 red marbles and 3 green marbles, what is the probability of drawing a green marble?

• 1/3

• 1/4

• 1/2

• 3/10

What are dependent events?

• Events that occur independently of each other.

• Events where the outcome of one event affects the outcome of another.

• Events that cannot happen at the same time.

• Events that are completely random.

How do you find the probability of an event not occurring?

• P(not A) = P(A) - 1

• P(not A) = 1 + P(A)

• P(not A) = 1 - P(A)

• P(not A) = P(A) / 1

How do you calculate the probability of two independent events occurring?

• Add the probabilities of each event: P(A or B) = P(A) + P(B).

• Multiply the probabilities of each event: P(A and B) = P(A) * P(B).

• Subtract the probabilities of each event: P(A and B) = P(A) - P(B).

• Divide the probabilities of each event: P(A and B) = P(A) / P(B).

What is probability?

• A measure of the likelihood that an event will occur, expressed as a number between 0 and 1.

• A method to predict future events based on past occurrences.

• A statistical tool used to analyze data sets.

• A way to ensure that events will happen with certainty.

What is a favorable outcome?

• An outcome that is considered unsuccessful for the event being measured.

• An outcome that is neutral and has no impact on the event being measured.

• An outcome that is considered successful for the event being measured.

• An outcome that is always positive regardless of the event being measured.

What does it mean for events to be mutually exclusive?

• Mutually exclusive events can occur at the same time.

• Mutually exclusive events are independent of each other.

• Mutually exclusive events cannot occur at the same time; the occurrence of one event excludes the possibility of the other.

• Mutually exclusive events are events that always happen together.

What are independent events?

• Events that occur at the same time

• Events where the outcome of one does not affect the outcome of another

• Events that are mutually exclusive

• Events that are dependent on each other

What is the formula for calculating the probability of dependent events?

• P(A and B) = P(A) + P(B|A)

• P(A and B) = P(A) * P(B)

• P(A and B) = P(A) * P(B|A)

• P(A and B) = P(A) - P(B|A)

What is the total number of outcomes when flipping a coin twice?

• 2 outcomes: H, T

• 3 outcomes: HH, HT, TH

• 4 outcomes: HH, HT, TH, TT

• 5 outcomes: HHH, HHT, HTH, HTT, TTH