Alg2Honors Probability Review

Front

What is the formula for conditional probability P(A | B)?

Back

P(A | B) = P(A ∩ B) / P(B), where P(A | B) is the probability of event A given that event B has occurred.

Front

Define the term 'independent events' in probability.

Back

Two events A and B are independent if the occurrence of one does not affect the occurrence of the other, i.e., P(A ∩ B) = P(A) * P(B).

Front

What does P(A ∩ B) represent in probability?

Back

P(A ∩ B) represents the probability that both events A and B occur simultaneously.

Front

How do you calculate the probability of the union of two events, P(A ∪ B)?

Back

P(A ∪ B) = P(A) + P(B) - P(A ∩ B).

Front

What is the complement of an event A, denoted as A'?

Back

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

Front

If P(C) = 0.68 and P(D) = 0.42, what is the probability of neither C nor D occurring?

Back

P(C' ∩ D') = 1 - P(C ∪ D) = 1 - (P(C) + P(D) - P(C ∩ D)).

Front

What is a Venn diagram used for in probability?

Back

A Venn diagram visually represents the relationships between different sets, showing how they intersect and their individual probabilities.

Front

Calculate P(D | C) given P(C) = 0.68, P(D) = 0.42, and P(C ∩ D) = 0.35.

Back

P(D | C) = P(C ∩ D) / P(C) = 0.35 / 0.68 = 0.5147.

Front

What is the probability of event A occurring if P(A) = 0.75?

Back

The probability of event A occurring is 0.75, meaning there is a 75% chance that A will happen.

Front

Define 'mutually exclusive events'.

Back

Two events are mutually exclusive if they cannot occur at the same time, i.e., P(A ∩ B) = 0.