3.7 Conditional Probability Practice

Front

What is Conditional Probability?

Back

Conditional Probability is the probability of an event occurring given that another event has already occurred. It is denoted as P(A|B), which reads 'the probability of A given B'.

Front

What is the formula for Conditional Probability?

Back

The formula for Conditional Probability is P(A|B) = P(A ∩ B) / P(B), where P(A ∩ B) is the probability of both events A and B occurring.

Front

What does P(A|B) represent?

Back

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

Front

How do you calculate P(A ∩ B)?

Back

P(A ∩ B) can be calculated by multiplying the probability of B by the conditional probability of A given B: P(A ∩ B) = P(B) * P(A|B).

Front

What is the complement of an event?

Back

The complement of an event A, denoted as A', is the event that A does not occur. The probability of the complement is given by P(A') = 1 - P(A).

Front

If P(A) = 0.6 and P(B) = 0.5, what is P(A ∩ B) if A and B are independent?

Back

If A and B are independent, P(A ∩ B) = P(A) * P(B) = 0.6 * 0.5 = 0.3.

Front

What is the probability that a student does not do community service if they do not play sports?

Back

Front

What is P(Ace given hearts) in a standard deck of cards?

Back

Front

What is the probability that a student speaks French given they are a girl?

Back

The probability is 0.4.

Front

What is the probability that a student plays on a sports team given they don't play an instrument?

Back

The probability is 0.2222.