EWT | Academic Question

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Question (31)
QN0037151
Two fair dice are thrown together. What is the probability that their sum is even?
  • (A) 1/4
  • (B) 1/3
  • (C) 1/2
  • (D) 2/3

Correct Answer: C
Explanation:

The sum is even when both dice have the same parity. There are 18 such outcomes, so P = 18/36 = 1/2.

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Question (32)
QN0037152
A card is drawn from a standard deck. What is the probability that it is red?
  • (A) 1/4
  • (B) 1/2
  • (C) 3/4
  • (D) 13/52

Correct Answer: B
Explanation:

There are 26 red cards out of 52. P = 26/52 = 1/2.

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Question (33)
QN0037153
What is the probability of drawing a black king from a standard deck of 52 cards?
  • (A) 1/52
  • (B) 1/26
  • (C) 1/13
  • (D) 2/13

Correct Answer: B
Explanation:

There are 2 black kings. P = 2/52 = 1/26.

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Question (34)
QN0037154
What is the probability of drawing a red queen from a standard deck?
  • (A) 1/52
  • (B) 1/26
  • (C) 1/13
  • (D) 1/4

Correct Answer: B
Explanation:

There are 2 red queens. P = 2/52 = 1/26.

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Question (35)
QN0037155
What is the probability of drawing a face card from a standard deck of 52 cards?
  • (A) 3/13
  • (B) 1/4
  • (C) 4/13
  • (D) 1/13

Correct Answer: A
Explanation:

There are 12 face cards. P = 12/52 = 3/13.

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Question (36)
QN0037156
A card is drawn from a standard deck. What is the probability that it is neither an ace nor a king?
  • (A) 10/13
  • (B) 11/13
  • (C) 12/13
  • (D) 9/13

Correct Answer: B
Explanation:

There are 4 aces and 4 kings, so 44 cards are neither. P = 44/52 = 11/13.

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Question (37)
QN0037157
A box contains 5 red, 4 blue and 6 green marbles. What is the probability of drawing a marble that is neither red nor blue?
  • (A) 1/3
  • (B) 4/15
  • (C) , 2/5.
  • (D) 3/5

Correct Answer: A
Explanation:

Only green marbles satisfy the condition. P = 6/15 = 2/5.

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Question (38)
QN0037158
A bag contains 7 black and 13 white marbles. What is the probability of drawing a marble that is not black?
  • (A) 7/20
  • (B) 13/20
  • (C) 1/2
  • (D) 3/5

Correct Answer: B
Explanation:

Not black means white. P = 13/20.

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Question (39)
QN0037159
In a class of 32 students, 12 are boys. If one student is selected at random, what is the probability that the student is a boy?
  • (A) 3/8
  • (B) 5/8
  • (C) 3/4
  • (D) 1/2

Correct Answer: A
Explanation:

P(boy) = 12/32 = 3/8.

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Question (40)
QN0037160
A class has 45 students, of whom 18 are boys. What is the probability that a randomly selected student is a girl?
  • (A) 2/5
  • (B) 3/5
  • (C) 1/2
  • (D) 4/5

Correct Answer: B
Explanation:

Number of girls = 45 − 18 = 27. P(girl) = 27/45 = 3/5.

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