Q. Choose the correct idiom to complete the sentence: 'Rolling the dice is like taking a chance; sometimes you win, and sometimes you ____.'
-
A.
lose
-
B.
gain
-
C.
succeed
-
D.
fail
Solution
The idiom 'lose' fits the context of taking a chance.
Correct Answer:
A
— lose
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Q. Complete the idiom: 'The die is cast' means...
-
A.
A decision has been made
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B.
To take a risk
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C.
To play a game
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D.
To roll the dice
Solution
The idiom 'the die is cast' means that a decision has been made and cannot be changed.
Correct Answer:
A
— A decision has been made
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Q. If a die is rolled, which number is least likely to appear?
-
A.
1
-
B.
2
-
C.
3
-
D.
All are equally likely
Solution
All numbers on a fair die (1-6) are equally likely to appear, each with a probability of 1/6.
Correct Answer:
D
— All are equally likely
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Q. If a die shows a 3, what is the next number that can be rolled?
Solution
The next number that can be rolled after 3 is 4, as it is the next higher number.
Correct Answer:
B
— 4
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Q. If a die shows a number greater than 4, what are the possible outcomes?
-
A.
1, 2, 3
-
B.
4, 5, 6
-
C.
5, 6
-
D.
2, 3, 4
Solution
The only numbers greater than 4 on a die are 5 and 6.
Correct Answer:
C
— 5, 6
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Q. If a die shows a number less than 3, what are the possible outcomes?
-
A.
1, 2
-
B.
1, 2, 3
-
C.
2, 3, 4
-
D.
1, 2, 3, 4
Solution
The numbers less than 3 on a die are 1 and 2.
Correct Answer:
A
— 1, 2
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Q. If a die shows an even number, what are the possible outcomes?
-
A.
1, 2, 3
-
B.
2, 4, 6
-
C.
1, 3, 5
-
D.
1, 2, 4, 6
Solution
The even numbers on a die are 2, 4, and 6.
Correct Answer:
B
— 2, 4, 6
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Q. If two dice are rolled, what is the total number of possible outcomes?
Solution
Each die has 6 faces, so the total outcomes when rolling two dice is 6 * 6 = 36.
Correct Answer:
C
— 36
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Q. If you roll a die and it lands on a number less than 3, what are the possible outcomes?
-
A.
1, 2
-
B.
2, 3
-
C.
1, 2, 3
-
D.
3, 4, 5
Solution
The numbers less than 3 on a die are 1 and 2.
Correct Answer:
A
— 1, 2
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Q. If you roll a die and it lands on an even number, what are the possible outcomes?
-
A.
1, 2, 3, 4
-
B.
2, 4, 6
-
C.
1, 3, 5
-
D.
1, 2, 5, 6
Solution
The even numbers on a die are 2, 4, and 6.
Correct Answer:
B
— 2, 4, 6
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Q. If you roll a die twice, what is the probability of getting a 1 both times?
-
A.
1/36
-
B.
1/6
-
C.
1/12
-
D.
1/18
Solution
The probability of rolling a 1 on a die is 1/6. For two rolls, it is (1/6) * (1/6) = 1/36.
Correct Answer:
A
— 1/36
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Q. If you roll a die twice, what is the probability of getting a 3 both times?
-
A.
1/36
-
B.
1/6
-
C.
1/12
-
D.
1/18
Solution
The probability of rolling a 3 on one die is 1/6, so for two rolls, it is (1/6) * (1/6) = 1/36.
Correct Answer:
A
— 1/36
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Q. In a game involving two dice, if the sum of the numbers is 7, which of the following combinations is NOT possible?
-
A.
1 and 6
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B.
2 and 5
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C.
3 and 4
-
D.
4 and 5
Solution
The combinations that sum to 7 are (1,6), (2,5), (3,4), but (4,5) sums to 9.
Correct Answer:
D
— 4 and 5
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Q. In a game involving two dice, if the sum of the numbers rolled is 7, which of the following combinations is NOT possible?
-
A.
1 and 6
-
B.
2 and 5
-
C.
3 and 4
-
D.
4 and 5
Solution
The combination of 4 and 5 sums to 9, not 7.
Correct Answer:
D
— 4 and 5
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Q. In a game involving two dice, what is the probability of rolling a sum of 7?
-
A.
1/6
-
B.
1/12
-
C.
1/36
-
D.
1/3
Solution
There are 6 combinations that result in a sum of 7 out of 36 total outcomes, so the probability is 6/36 = 1/6.
Correct Answer:
A
— 1/6
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Q. What does the idiom 'the dice are cast' imply?
-
A.
A decision has been made
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B.
Luck is on your side
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C.
Everything is uncertain
-
D.
You can change the outcome
Solution
The idiom means that a decision has been made and cannot be changed.
Correct Answer:
A
— A decision has been made
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Q. What is the sum of the numbers on opposite faces of a standard die?
Solution
On a standard die, the sum of the numbers on opposite faces is always 7.
Correct Answer:
C
— 7
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Q. What is the synonym of 'chance' in the context of rolling dice?
-
A.
certainty
-
B.
risk
-
C.
safety
-
D.
guarantee
Solution
'Risk' is a synonym for 'chance' when discussing the uncertainty of outcomes.
Correct Answer:
B
— risk
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Q. What is the term for the arrangement of numbers on a standard die?
-
A.
Configuration
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B.
Pattern
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C.
Layout
-
D.
Design
Solution
'Configuration' refers to the specific arrangement of numbers on the die.
Correct Answer:
A
— Configuration
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Q. What is the total number of ways to roll a sum of 8 with two dice?
Solution
The combinations to get a sum of 8 are (2,6), (3,5), (4,4), (5,3), (6,2), totaling 5 ways.
Correct Answer:
A
— 5
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Q. Which of the following is a synonym for 'chance' in the context of rolling dice?
-
A.
certainty
-
B.
risk
-
C.
probability
-
D.
safety
Solution
'Probability' is a synonym for 'chance' when discussing outcomes of rolling dice.
Correct Answer:
C
— probability
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Q. Which of the following is a synonym for 'chance'?
-
A.
certainty
-
B.
risk
-
C.
opportunity
-
D.
safety
Solution
'Opportunity' is a synonym for 'chance', as both imply a possibility of occurrence.
Correct Answer:
C
— opportunity
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Q. Which of the following is an antonym for 'random'?
-
A.
arbitrary
-
B.
deliberate
-
C.
haphazard
-
D.
chaotic
Solution
'Deliberate' means done consciously and intentionally, which is the opposite of 'random'.
Correct Answer:
B
— deliberate
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Q. Which of the following is an antonym for 'roll' in the context of dice?
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A.
toss
-
B.
throw
-
C.
stop
-
D.
cast
Solution
In the context of dice, 'stop' is the opposite of 'roll'.
Correct Answer:
C
— stop
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Q. Which of the following is an antonym of 'random'?
-
A.
arbitrary
-
B.
deliberate
-
C.
haphazard
-
D.
chaotic
Solution
'Deliberate' means done consciously and intentionally, which is the opposite of 'random'.
Correct Answer:
B
— deliberate
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Q. Which of the following is an antonym of 'roll'?
-
A.
tumble
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B.
unroll
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C.
stop
-
D.
spin
Solution
The word 'stop' is the opposite of 'roll', as it indicates ceasing movement.
Correct Answer:
C
— stop
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Q. Which of the following phrases best describes the outcome of rolling a die?
-
A.
A sure thing
-
B.
A wild card
-
C.
A fixed result
-
D.
A calculated risk
Solution
Rolling a die introduces uncertainty, making it a 'wild card' outcome.
Correct Answer:
B
— A wild card
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Q. Which of the following phrases means to take a chance?
-
A.
Play it safe
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B.
Throw caution to the wind
-
C.
Count your blessings
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D.
Bite the bullet
Solution
'Throw caution to the wind' means to take a chance or act recklessly.
Correct Answer:
B
— Throw caution to the wind
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Q. Which phrase best describes the outcome of rolling a die?
-
A.
A sure thing
-
B.
A toss-up
-
C.
A foregone conclusion
-
D.
A safe bet
Solution
A 'toss-up' indicates an uncertain outcome, which fits the nature of rolling a die.
Correct Answer:
B
— A toss-up
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