# Lesson 4 & 5 Quiz - Possibility Diagrams & Tree Diagrams

13 Questions | Total Attempts: 351  Settings  Lesson 4 & 5 Quiz - Possibility Diagrams & Tree Diagrams. Please go through the lesson before attempting the quiz. This quiz has 15 questions. There will not be any time limit for this quiz and answer all questions. You need to answer at least 10 questions correctly in order to pass the quiz. Please acknowledge by entering you name before attempting the quiz. Good luck!

• 1.
X = {3, 4, 5, 6} and Y = {7, 8, 9, 10}. An element x is selected randomly from X and an element y is selected from Y. The value of x + y is then recorded.What is the probability that x + y is odd?
• A.

1 / 8

• B.

1 / 6

• C.

1 / 4

• D.

1 / 2

• 2.
X = {3, 4, 5, 6} and Y = {7, 8, 9, 10}. An element x is selected randomly from X and an element y is selected from Y. The value of x + y is then recorded.What is the probability that x + y is even?
• A.

1 / 8

• B.

1 / 6

• C.

1 / 4

• D.

1 / 2

• 3.
X = {3, 4, 5, 6} and Y = {7, 8, 9, 10}. An element x is selected randomly from X and an element y is selected from Y. The value of xy is then recorded.What is the probability that xy is a multiple of 3?
• A.

3 / 8

• B.

5 / 8

• C.

3 / 16

• D.

5 / 16

• 4.
X = {3, 4, 5, 6} and Y = {7, 8, 9, 10}. An element x is selected randomly from X and an element y is selected from Y. The value of xy is then recorded.What is the probability that xy is less than or equal to 30?
• A.

3 / 8

• B.

5 / 8

• C.

3 / 16

• D.

5 / 16

• 5.
In a game, the player throws a coin and a regular die simultaneously. If the coin shows a head, the player's score is the score on the die. If the coin shows a tail, then the player's score is twice the score on the die. What is the probability that the score is even?
• A.

1 / 4

• B.

1 / 2

• C.

3 / 4

• D.

1

• 6.
In a game, the player throws a coin and a regular die simultaneously. If the coin shows a head, the player's score is the score on the die. If the coin shows a tail, then the player's score is twice the score on the die. What is the probability that the score is less than 6?
• A.

5 / 6

• B.

5 / 12

• C.

7 / 12

• D.

3 / 4

• 7.
A coin is flipped 4 times. What is the value of n(S)?
• A.

4

• B.

8

• C.

12

• D.

16

• 8.
A coin is flipped 4 times. What is the probability of getting more than 2 heads?
• A.

3 / 8

• B.

5 / 8

• C.

3 / 16

• D.

5 / 16

• 9.
A coin is flipped 4 times. What is the probability of getting all 4 coins land on the same side?
• A.

1 / 16

• B.

1 / 8

• C.

1 / 4

• D.

1 / 2

• 10.
In a game, a player will have to throw a tetrahedral die and a coin at the same time. If he get a tail on the coin, the game will stop and he will receive the point based on the side facing down on the tetrahedral die. If he get a head on the coin, he will then throw the die again and he will receive the point based on the product of the 2 throws on the die. What are the number of different possible score a player can get?
• A.

4

• B.

8

• C.

9

• D.

16

• 11.
In a game, a player will have to throw a tetrahedral die and a coin at the same time. If he get a tail on the coin, the game will stop and he will receive the point based on the side facing down on the tetrahedral die. If he get a head on the coin, he will then throw the die again and he will receive the point based on the product of the 2 throws on the die. What is the value of n(S)?
• A.

8

• B.

9

• C.

16

• D.

20

• 12.
In a game, a player will have to throw a tetrahedral die and a coin at the same time. If he get a tail on the coin, the game will stop and he will receive the point based on the side facing down on the tetrahedral die. If he get a head on the coin, he will then throw the die again and he will receive the point based on the product of the 2 throws on the die. What is the probability of getting a score greater than 7?
• A.

3 / 8

• B.

3 / 10

• C.

3 / 16

• D.

3 / 20

• 13.
In a game, a player will have to throw a tetrahedral die and a coin at the same time. If he get a tail on the coin, the game will stop and he will receive the point based on the side facing down on the tetrahedral die. If he get a head on the coin, he will then throw the die again and he will receive the point based on the product of the 2 throws on the die. If the player can only wins if he/she get above a certain value. What is the value if the game only allows 2 / 5 of the players to win?
• A.

4

• B.

5

• C.

6

• D.

7

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