AP Statistics Probability Test Prep
Questions With Complete Solutions
2025!!
How do you prove two events are independent? CORRECT ANSWERS 1.P (A) =P(A |
B)
2.P (B) =P(B | A)
3.P (A and B) = P (A) P(B)
A standard deck of playing cards consists of 52 cards. All cards are divided into 4 suits.
There are two black suits — spades (♠) and clubs (♣) and two red suits — hearts (♥)
and diamonds (♦). In each suit there are 13 cards including a 2, 3, 4, 5, 6, 7, 8, 9, 10, a
jack, a queen, a king and an ace.(a face card is considered to be a jack, queen, or king)
1.P(King)
2.P(King | Face card)
3.Is drawing a King and drawing a face card independent? Explain your answer.
CORRECT ANSWERS 1. 4/52 = 1/13
2. 4/12 = 1/3
3. No P(King) != P(King | Face Card) and P(Face Card) = P(Face Card | King)
A standard deck of playing cards consists of 52 cards. All cards are divided into 4 suits.
There are two black suits — spades (♠) and clubs (♣) and two red suits — hearts (♥)
and diamonds (♦). In each suit there are 13 cards including a 2, 3, 4, 5, 6, 7, 8, 9, 10, a
jack, a queen, a king and an ace.(a face card is considered to be a jack, queen, or king)
1.P(Heart)
2.P(Heart| Face card)
3.Is drawing a Heart and drawing a face card independent? Explain your answer.
CORRECT ANSWERS 1. 13/52 = 1/4
2. 3/12 = 1/4
3. P(Heart) = P(Heart | Face Card)
When are events A and B mutually exclusive? CORRECT ANSWERS P(A and B) = 0
Addition Rule (for mutually exclusive events) CORRECT ANSWERS P(A or B) = P(A) +
P(B)
Addition Rule (non mutually exclusive events) CORRECT ANSWERS P(A or B) = P(A)
+ P(B) - P(A and B)
What is P(B|A)? CORRECT ANSWERS P(B|A) = P(A and B) / P(A)
Multiplication Rule (independent events) CORRECT ANSWERS P(A and B) = P(A) *
P(B)
Questions With Complete Solutions
2025!!
How do you prove two events are independent? CORRECT ANSWERS 1.P (A) =P(A |
B)
2.P (B) =P(B | A)
3.P (A and B) = P (A) P(B)
A standard deck of playing cards consists of 52 cards. All cards are divided into 4 suits.
There are two black suits — spades (♠) and clubs (♣) and two red suits — hearts (♥)
and diamonds (♦). In each suit there are 13 cards including a 2, 3, 4, 5, 6, 7, 8, 9, 10, a
jack, a queen, a king and an ace.(a face card is considered to be a jack, queen, or king)
1.P(King)
2.P(King | Face card)
3.Is drawing a King and drawing a face card independent? Explain your answer.
CORRECT ANSWERS 1. 4/52 = 1/13
2. 4/12 = 1/3
3. No P(King) != P(King | Face Card) and P(Face Card) = P(Face Card | King)
A standard deck of playing cards consists of 52 cards. All cards are divided into 4 suits.
There are two black suits — spades (♠) and clubs (♣) and two red suits — hearts (♥)
and diamonds (♦). In each suit there are 13 cards including a 2, 3, 4, 5, 6, 7, 8, 9, 10, a
jack, a queen, a king and an ace.(a face card is considered to be a jack, queen, or king)
1.P(Heart)
2.P(Heart| Face card)
3.Is drawing a Heart and drawing a face card independent? Explain your answer.
CORRECT ANSWERS 1. 13/52 = 1/4
2. 3/12 = 1/4
3. P(Heart) = P(Heart | Face Card)
When are events A and B mutually exclusive? CORRECT ANSWERS P(A and B) = 0
Addition Rule (for mutually exclusive events) CORRECT ANSWERS P(A or B) = P(A) +
P(B)
Addition Rule (non mutually exclusive events) CORRECT ANSWERS P(A or B) = P(A)
+ P(B) - P(A and B)
What is P(B|A)? CORRECT ANSWERS P(B|A) = P(A and B) / P(A)
Multiplication Rule (independent events) CORRECT ANSWERS P(A and B) = P(A) *
P(B)
