Probability Review - AP Stat

Front

What is the formula to find P(A and B) when given P(A) and P(B|A)?

Back

P(A and B) = P(A) * P(B|A)

Front

Define mutually exclusive events.

Back

Mutually exclusive events are events that cannot occur at the same time. If one event occurs, the other cannot.

Front

What is the definition of independent events?

Back

Independent events are events where the occurrence of one event does not affect the occurrence of another.

Front

How do you calculate conditional probability P(A|B)?

Back

P(A|B) = P(A and B) / P(B) if P(B) > 0.

Front

What is the probability of at least one event occurring?

Back

P(at least one) = 1 - P(none).

Front

What does it mean for two events to be dependent?

Back

Dependent events are events where the occurrence of one event affects the probability of the other event.

Front

If P(A) = 0.8 and P(B|A) = 0.3, what is P(A and B)?

Back

P(A and B) = 0.8 * 0.3 = 0.24.

Front

In a Venn diagram, what does P(A|B) represent?

Back

P(A|B) represents the probability of event A occurring given that event B has occurred.

Front

What is the difference between independent and dependent events?

Back

Independent events do not influence each other, while dependent events do.

Front

When flipping a coin, what are the possible outcomes?

Back

The possible outcomes are heads or tails, which are mutually exclusive.