Probability
Q. A bag contains 3 red balls and 2 blue balls. What is the probability of drawing a red ball?
A.
0.3
B.
0.4
C.
0.6
D.
0.5
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Solution
The total number of balls is 3 + 2 = 5. The probability of drawing a red ball is 3/5 = 0.6.
Correct Answer: C — 0.6
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Q. A box contains 10 balls, 7 of which are white. If one ball is drawn at random, what is the probability that it is not white?
A.
1/10
B.
3/10
C.
7/10
D.
1/3
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Solution
There are 3 non-white balls. Probability = 3/10.
Correct Answer: B — 3/10
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Q. A box contains 10 balls: 3 are blue, 4 are red, and 3 are green. What is the probability of drawing a blue ball?
A.
1/3
B.
3/10
C.
1/4
D.
2/5
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Solution
The total number of balls is 10. The probability of drawing a blue ball is 3/10.
Correct Answer: B — 3/10
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Q. A box contains 10 balls: 3 are red, 4 are blue, and 3 are green. What is the probability of drawing a blue ball?
A.
1/3
B.
2/5
C.
4/10
D.
3/10
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Solution
The total number of balls is 10. The probability of drawing a blue ball is 4/10 = 2/5.
Correct Answer: B — 2/5
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Q. A box contains 10 balls: 4 are blue, 3 are green, and 3 are red. What is the probability of drawing a red ball?
A.
1/3
B.
3/10
C.
1/4
D.
2/5
Show solution
Solution
The total number of balls is 10. The probability of drawing a red ball is 3/10.
Correct Answer: B — 3/10
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Q. A box contains 10 balls: 4 blue, 3 green, and 3 red. What is the probability of drawing a red ball?
A.
1/3
B.
1/4
C.
3/10
D.
3/5
Show solution
Solution
The total number of balls is 10. The probability of drawing a red ball is 3/10.
Correct Answer: C — 3/10
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Q. A box contains 10 balls: 4 red, 3 blue, and 3 green. What is the probability of drawing a blue ball?
A.
1/3
B.
3/10
C.
2/5
D.
1/5
Show solution
Solution
The probability of drawing a blue ball is 3/10.
Correct Answer: B — 3/10
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Q. A box contains 10 balls: 6 white and 4 black. If one ball is drawn at random, what is the probability that it is not black?
A.
1/5
B.
2/5
C.
3/5
D.
4/5
Show solution
Solution
The probability of not drawing a black ball = 6/10 = 3/5.
Correct Answer: D — 4/5
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Q. A box contains 10 chocolates, 4 of which are dark chocolate. What is the probability of selecting a dark chocolate?
A.
2/5
B.
1/3
C.
1/2
D.
4/10
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Solution
Probability of selecting dark chocolate = 4/10 = 2/5.
Correct Answer: A — 2/5
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Q. A box contains 10 chocolates, 4 of which are dark chocolate. What is the probability of randomly selecting a dark chocolate?
A.
0.4
B.
0.5
C.
0.3
D.
0.2
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Solution
The probability of selecting a dark chocolate is 4/10 = 0.4.
Correct Answer: A — 0.4
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Q. A box contains 4 white and 6 black balls. If one ball is drawn at random, what is the probability that it is black?
A.
2/5
B.
3/5
C.
4/5
D.
1/5
Show solution
Solution
The total number of balls is 4 + 6 = 10. The probability of drawing a black ball is 6/10 = 3/5.
Correct Answer: B — 3/5
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Q. A box contains 4 white, 5 black, and 6 red balls. What is the probability of picking a black ball?
A.
1/3
B.
5/15
C.
1/4
D.
5/15
Show solution
Solution
Total balls = 4 + 5 + 6 = 15. Probability of black ball = 5/15 = 1/3.
Correct Answer: B — 5/15
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Q. A box contains 5 white and 3 black balls. If one ball is drawn at random, what is the probability that it is black?
A.
0.25
B.
0.3
C.
0.5
D.
0.4
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Solution
The total number of balls is 5 + 3 = 8. The probability of drawing a black ball is 3/8 = 0.375.
Correct Answer: B — 0.3
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Q. A card is drawn from a standard deck of 52 cards. What is the probability that it is a heart?
A.
1/4
B.
1/13
C.
1/2
D.
1/3
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Solution
There are 13 hearts in a deck of 52 cards. The probability is 13/52 = 1/4.
Correct Answer: A — 1/4
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Q. A die is rolled. What is the probability of rolling a number greater than 4?
A.
1/6
B.
1/3
C.
1/2
D.
1/4
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Solution
The numbers greater than 4 are 5 and 6. So, the probability is 2/6 = 1/3.
Correct Answer: B — 1/3
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Q. A family has 3 children. What is the probability that at least one of them is a girl?
A.
1/8
B.
1/4
C.
3/4
D.
7/8
Show solution
Solution
The only scenario where there are no girls is if all are boys. The probability of all boys is (1/2)^3 = 1/8. Therefore, the probability of at least one girl is 1 - 1/8 = 7/8.
Correct Answer: D — 7/8
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Q. A jar contains 4 green, 5 yellow, and 6 red marbles. What is the probability of picking a yellow marble?
A.
1/3
B.
5/15
C.
1/4
D.
1/5
Show solution
Solution
The total number of marbles is 4 + 5 + 6 = 15. The probability of picking a yellow marble is 5/15 = 1/3.
Correct Answer: A — 1/3
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Q. A jar contains 5 green, 3 yellow, and 2 blue marbles. What is the probability of picking a yellow marble?
A.
1/5
B.
1/4
C.
3/10
D.
1/3
Show solution
Solution
Total marbles = 5 + 3 + 2 = 10. Probability of yellow marble = 3/10.
Correct Answer: C — 3/10
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Q. A jar contains 5 green, 3 yellow, and 2 blue marbles. What is the probability of selecting a yellow marble?
A.
1/5
B.
1/4
C.
3/10
D.
1/3
Show solution
Solution
Total marbles = 5 + 3 + 2 = 10. Probability of yellow marble = 3/10.
Correct Answer: C — 3/10
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Q. A jar contains 5 green, 3 yellow, and 2 red marbles. What is the probability of randomly selecting a yellow marble?
A.
1/5
B.
1/4
C.
3/10
D.
1/3
Show solution
Solution
The total number of marbles is 5 + 3 + 2 = 10. The probability of selecting a yellow marble is 3/10.
Correct Answer: C — 3/10
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Q. A jar contains 5 green, 3 yellow, and 2 red marbles. What is the probability of picking a yellow marble?
A.
1/5
B.
1/4
C.
3/10
D.
1/3
Show solution
Solution
The total number of marbles is 5 + 3 + 2 = 10. The probability of picking a yellow marble is 3/10.
Correct Answer: C — 3/10
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Q. A jar contains 5 red, 3 green, and 2 blue marbles. If one marble is drawn at random, what is the probability that it is not green?
A.
1/5
B.
2/5
C.
4/5
D.
3/5
Show solution
Solution
The total number of marbles is 5 + 3 + 2 = 10. The number of non-green marbles is 5 + 2 = 7. The probability is 7/10 = 7/10.
Correct Answer: C — 4/5
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Q. A jar contains 5 red, 3 green, and 2 blue marbles. What is the probability of picking a green marble?
A.
1/5
B.
1/4
C.
3/10
D.
1/2
Show solution
Solution
The total number of marbles is 5 + 3 + 2 = 10. The probability of picking a green marble is 3/10.
Correct Answer: C — 3/10
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Q. If a bag contains 2 white, 3 black, and 5 blue balls, what is the probability of drawing a blue ball?
A.
1/5
B.
1/3
C.
1/2
D.
1/4
Show solution
Solution
The total number of balls is 2 + 3 + 5 = 10. The probability of drawing a blue ball is 5/10 = 1/2.
Correct Answer: C — 1/2
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Q. If a bag contains 2 white, 3 black, and 5 red balls, what is the probability of drawing a white ball?
A.
1/5
B.
1/4
C.
1/2
D.
1/10
Show solution
Solution
The total number of balls is 2 + 3 + 5 = 10. The probability of drawing a white ball is 2/10 = 1/5.
Correct Answer: B — 1/4
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Q. If a bag contains 4 apples and 6 oranges, what is the probability of randomly selecting an apple?
A.
2/5
B.
4/10
C.
1/3
D.
1/2
Show solution
Solution
The total number of fruits is 4 + 6 = 10. The probability of selecting an apple is 4/10 = 2/5.
Correct Answer: A — 2/5
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Q. If a bag contains 4 apples and 6 oranges, what is the probability of randomly selecting an orange?
A.
2/5
B.
3/5
C.
4/5
D.
1/5
Show solution
Solution
The total number of fruits is 4 + 6 = 10. The probability of selecting an orange is 6/10 = 3/5.
Correct Answer: B — 3/5
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Q. If a bag contains 4 red, 3 blue, and 5 green balls, what is the probability of drawing a green ball?
A.
1/3
B.
1/4
C.
5/12
D.
5/10
Show solution
Solution
Total balls = 4 + 3 + 5 = 12. Probability of green ball = 5/12.
Correct Answer: C — 5/12
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Q. If a bag contains 4 red, 3 green, and 5 blue marbles, what is the probability of drawing a blue marble?
A.
1/3
B.
1/4
C.
5/12
D.
5/10
Show solution
Solution
Total marbles = 4 + 3 + 5 = 12. Probability of blue marble = 5/12.
Correct Answer: C — 5/12
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Q. If a box contains 10 balls, 4 of which are blue, what is the probability of selecting a blue ball?
A.
2/5
B.
1/2
C.
4/10
D.
3/10
Show solution
Solution
The probability of selecting a blue ball is 4/10 = 2/5.
Correct Answer: A — 2/5
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