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Question (41)
QN0037161
A box contains 120 shirts, of which 6 have major defects. What is the probability of selecting a shirt with a major defect?
  • (A) 1/10
  • (B) 1/20
  • (C) 1/15
  • (D) 1/24

Correct Answer: B
Explanation:

P(defective) = 6/120 = 1/20.

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Question (42)
QN0037162
In a box of 120 shirts, 6 have major defects. If a shirt is considered acceptable when it does not have a major defect, what is the probability of selecting an acceptable shirt?
  • (A) 0.90
  • (B) 0.94
  • (C) 0.95
  • (D) 0.96

Correct Answer: C
Explanation:

Acceptable shirts = 120 − 6 = 114. P = 114/120 = 0.95.

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Question (43)
QN0037163
A box contains 18 bulbs, of which 3 are defective. What is the probability of selecting a good bulb?
  • (A) 1/6
  • (B) 5/6
  • (C) 2/3
  • (D) 3/5

Correct Answer: B
Explanation:

Good bulbs = 18 − 3 = 15. P(good) = 15/18 = 5/6.

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Question (44)
QN0037164
A box contains 20 bulbs, of which 4 are defective. One good bulb is selected and removed. What is the probability that the next bulb selected is also good?
  • (A) 3/4
  • (B) 15/19
  • (C) 16/19
  • (D) 4/19

Correct Answer: B
Explanation:

Initially there are 16 good bulbs. After removing one good bulb, 15 good bulbs remain out of 19. P = 15/19.

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Question (45)
QN0037165
One disc is selected at random from discs numbered 1 to 60. What is the probability that the selected number is a multiple of 5?
  • (A) 1/5
  • (B) 1/6
  • (C) 1/10
  • (D) 1/12

Correct Answer: A
Explanation:

There are 12 multiples of 5 from 1 to 60. P = 12/60 = 1/5.

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Question (46)
QN0037166
One disc is selected at random from discs numbered 1 to 50. What is the probability that the selected number is a perfect square?
  • (A) 1/5
  • (B) 7/50
  • (C) 1/10
  • (D) 9/50

Correct Answer: B
Explanation:

Perfect squares are 1, 4, 9, 16, 25, 36 and 49. P = 7/50.

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Question (47)
QN0037167
A spinner has eight equally likely sections numbered 1 to 8. What is the probability of getting an odd number greater than 3?
  • (A) 1/8
  • (B) 1/4
  • (C) 1/2
  • (D) 3/4

Correct Answer: B
Explanation:

Favourable numbers are 5 and 7. P = 2/8 = 1/4.

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Question (48)
QN0037168
A die has six faces marked A, B, C, D, E and A. If the die is fair, what is the probability of getting A?
  • (A) = 2/6 = 1/3.
  • (B) 1/3
  • (C) 1/2
  • (D) 2/3

Correct Answer: B
Explanation:

Two of the six faces are marked A. P(A) = 2/6 = 1/3.

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Question (49)
QN0037169
A team has a probability of 0.68 of winning a match. Assuming the team either wins or loses, what is the probability that it loses?
  • (A) 0.22
  • (B) 0.32
  • (C) 0.38
  • (D) 0.68

Correct Answer: B
Explanation:

P(loss) = 1 − P(win) = 1 − 0.68 = 0.32.

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Question (50)
QN0037170
Three fair coins are tossed together. A player wins if all three coins show the same result. What is the probability of losing?
  • (A) 1/4
  • (B) 1/2
  • (C) 3/4
  • (D) 7/8

Correct Answer: C
Explanation:

All same outcomes are HHH and TTT, so P(win) = 2/8 = 1/4. Therefore P(lose) = 3/4.

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