Q. A bag contains 4 white and 6 black balls. If one ball is drawn at random, what is the probability that it is not black?
-
A.
2/5
-
B.
1/5
-
C.
1/2
-
D.
4/10
Solution
Total balls = 4 + 6 = 10. Probability of not drawing a black ball = Number of white balls / Total balls = 4/10 = 2/5.
Correct Answer: A — 2/5
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Q. A bag contains 4 white balls and 6 black balls. If one ball is drawn at random, what is the probability that it is not black?
-
A.
2/5
-
B.
3/5
-
C.
4/5
-
D.
1/5
Solution
Total balls = 4 + 6 = 10. Probability of not drawing a black ball = Number of white balls / Total balls = 4/10 = 2/5.
Correct Answer: C — 4/5
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Q. A box contains 10 balls numbered from 1 to 10. What is the probability of drawing a ball with an even number?
-
A.
1/2
-
B.
1/5
-
C.
1/10
-
D.
3/10
Solution
Even numbers in the box are 2, 4, 6, 8, 10 (5 even numbers). Total balls = 10. Probability = 5/10 = 1/2.
Correct Answer: A — 1/2
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Q. A box contains 10 balls, of which 4 are red and 6 are blue. If one ball is drawn, what is the probability that it is not red?
-
A.
2/5
-
B.
3/5
-
C.
4/5
-
D.
1/5
Solution
Probability of not red = Number of non-red balls / Total balls = 6/10 = 3/5.
Correct Answer: B — 3/5
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Q. A box contains 3 red, 5 blue, and 2 green balls. If one ball is drawn at random, what is the probability that it is blue?
-
A.
1/10
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B.
1/5
-
C.
1/2
-
D.
1/3
Solution
Total balls = 3 + 5 + 2 = 10. Probability of drawing a blue ball = Number of blue balls / Total balls = 5/10 = 1/2.
Correct Answer: B — 1/5
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Q. A coin is tossed three times. What is the probability of getting at least one head?
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A.
1/8
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B.
1/2
-
C.
7/8
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D.
3/8
Solution
Probability of getting no heads (all tails) = (1/2)^3 = 1/8. Therefore, probability of at least one head = 1 - 1/8 = 7/8.
Correct Answer: C — 7/8
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Q. A jar contains 5 red, 3 blue, and 2 yellow marbles. If one marble is drawn, what is the probability that it is either red or yellow?
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A.
1/2
-
B.
2/5
-
C.
4/10
-
D.
7/10
Solution
Total marbles = 5 + 3 + 2 = 10. Probability of red or yellow = (Number of red + Number of yellow) / Total = (5 + 2) / 10 = 7/10.
Correct Answer: D — 7/10
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Q. A jar contains 5 red, 3 blue, and 2 yellow marbles. What is the probability of drawing a yellow marble?
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A.
1/5
-
B.
1/10
-
C.
1/4
-
D.
1/6
Solution
Total marbles = 5 + 3 + 2 = 10. Probability of drawing a yellow marble = Number of yellow marbles / Total marbles = 2/10 = 1/5.
Correct Answer: B — 1/10
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Q. In a class of 30 students, 18 are boys and 12 are girls. If one student is selected at random, what is the probability that the student is a girl?
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A.
2/5
-
B.
1/3
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C.
1/2
-
D.
3/5
Solution
Probability = Number of girls / Total students = 12/30 = 2/5.
Correct Answer: A — 2/5
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Q. In a lottery, the probability of winning is 0.2. What is the probability of losing?
-
A.
0.2
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B.
0.5
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C.
0.8
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D.
0.1
Solution
Probability of losing = 1 - P(winning) = 1 - 0.2 = 0.8.
Correct Answer: C — 0.8
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Q. Two dice are thrown simultaneously. What is the probability that the sum of the numbers on the dice is 7?
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A.
1/6
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B.
1/12
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C.
1/36
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D.
1/3
Solution
Possible outcomes for sum = 7 are (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) = 6 outcomes. Total outcomes = 6 * 6 = 36. Probability = 6/36 = 1/6.
Correct Answer: A — 1/6
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