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Question (21)

QN0037141

A fair die is thrown once. What is the probability of getting a prime number?

(A) 1/3
(B) 1/2
(C) 2/3
(D) 5/6

Correct Answer: B

Explanation:

Prime outcomes are 2, 3 and 5. P = 3/6 = 1/2.

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Question (22)

QN0037142

A fair die is thrown once. What is the probability of getting a number divisible by 3?

(A) 1/6
(B) 1/3
(C) 1/2
(D) 2/3

Correct Answer: B

Explanation:

Divisible by 3 outcomes are 3 and 6. P = 2/6 = 1/3.

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Question (23)

QN0037143

A fair die is thrown once. What is the probability of getting an even number greater than 2?

(A) 1/6
(B) 1/3
(C) 1/2
(D) 2/3

Correct Answer: B

Explanation:

Favourable outcomes are 4 and 6. P = 2/6 = 1/3.

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Question (24)

QN0037144

A fair die is thrown once. What is the probability of getting neither a prime number nor 1?

(A) 1/3
(B) 1/2
(C) 2/3
(D) 5/6

Correct Answer: B

Explanation:

Neither prime nor 1 gives 4 and 6. P = 2/6 = 1/3.

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Question (25)

QN0037145

Two fair dice are thrown together. How many equally likely outcomes are possible?

(A) 6
(B) 12
(C) 36
(D) 72

Correct Answer: C

Explanation:

Each die has 6 outcomes, so total outcomes = 6 × 6 = 36.

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Question (26)

QN0037146

Two fair dice are thrown together. What is the probability that their sum is 7?

(A) 1/12
(B) 1/6
(C) 1/9
(D) 1/3

Correct Answer: B

Explanation:

Six outcomes give sum 7. Therefore P = 6/36 = 1/6.

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Question (27)

QN0037147

Two fair dice are thrown together. What is the probability that their sum is 9?

(A) 1/12
(B) 1/9
(C) 1/6
(D) 1/4

Correct Answer: B

Explanation:

Favourable outcomes are (3,6), (4,5), (5,4) and (6,3). P = 4/36 = 1/9.

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Question (28)

QN0037148

Two fair dice are thrown together. What is the probability that their sum is less than 5?

(A) 1/9
(B) 1/6
(C) 1/4
(D) 1/3

Correct Answer: B

Explanation:

Sums less than 5 are 2, 3 and 4, having 1 + 2 + 3 = 6 outcomes. P = 6/36 = 1/6.

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Question (29)

QN0037149

Two fair dice are thrown together. What is the probability that their sum is greater than 10?

(A) 1/12
(B) 1/18
(C) 1/9
(D) 1/6

Correct Answer: A

Explanation:

Sums greater than 10 are 11 and 12, with 2 + 1 = 3 outcomes. P = 3/36 = 1/12.

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Question (30)

QN0037150

Two fair dice are thrown together. What is the probability of getting the same number on both dice?

(A) 1/12
(B) 1/6
(C) 1/4
(D) 1/3

Correct Answer: B

Explanation:

Equal pairs are (1,1) through (6,6), giving 6 outcomes. P = 6/36 = 1/6.

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Question (21)

A fair die is thrown once. What is the probability of getting a prime number?

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Question (22)

A fair die is thrown once. What is the probability of getting a number divisible by 3?

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Question (23)

A fair die is thrown once. What is the probability of getting an even number greater than 2?

Explanation:

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Question (24)

A fair die is thrown once. What is the probability of getting neither a prime number nor 1?

Explanation:

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Question (25)

Two fair dice are thrown together. How many equally likely outcomes are possible?

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Question (26)

Two fair dice are thrown together. What is the probability that their sum is 7?

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Question (27)

Two fair dice are thrown together. What is the probability that their sum is 9?

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Question (28)

Two fair dice are thrown together. What is the probability that their sum is less than 5?

Explanation:

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Question (29)

Two fair dice are thrown together. What is the probability that their sum is greater than 10?

Explanation:

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Question (30)

Two fair dice are thrown together. What is the probability of getting the same number on both dice?

Explanation:

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