Understanding Probability: The Multiplication Rule and Beyond

What does it mean when two events are considered independent?

• The outcome of one event affects the outcome of the other event.

• The outcome of one event does not affect the outcome of the other event.

• The two events must occur at the same time.

• The two events cannot occur at the same time.

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What is conditional probability?

• The likelihood of two independent events happening at the same time.

• The likelihood of an event happening given that another event has already happened.

• The probability of an event not happening.

• The total probability of all possible outcomes.

What does it mean when two events are considered dependent?

• The outcome of one event does not affect the outcome of the other event.

• The outcome of one event affects the outcome of the other event.

• The two events must occur at the same time.

• The two events cannot occur at the same time.

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Using the multiplication rule, how do you calculate the probability of two independent events, A and B, happening together?

• P(A) + P(B)

• P(A) - P(B)

• P(A) / P(B)

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What is the purpose of a tree diagram in probability?

• To calculate the sum of probabilities.

• To visually represent all possible outcomes of a series of events.

• To subtract probabilities.

• To divide probabilities.

If a tree diagram shows two branches for flipping a coin (heads or tails) and three branches for rolling a die (1, 2, or 3), how many possible outcomes are there for flipping the coin and then rolling the die?

• 2

• 3

• 5

• 6

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