Probability Practice Questions
IGCSE (Cambridge) · IGCSE Mathematics · 131 free MCQs with instant results and detailed explanations.
131
Total
41
Easy
65
Medium
25
Hard
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Sample Questions from Probability
Here are 10 sample questions. Start a quiz to get randomized questions with scoring.
Q1
Easy
A bag contains 3 red balls and 2 blue balls. If a ball is randomly selected from the bag, what is the probability that it is red?
A.
3/5
B.
2/5
C.
1/2
D.
1/5
Show Answer & Explanation
Correct Answer: A
The probability of selecting a red ball is calculated by the ratio of red balls to the total number of balls. There are 3 red balls and 2 blue balls, making a total of 5 balls. Therefore, the probability is 3/5.
Q2
Easy
If a fair six-sided die is rolled, what is the probability of rolling an even number?
A.
1/6
B.
1/2
C.
2/3
D.
1/3
Show Answer & Explanation
Correct Answer: B
A fair six-sided die has the even numbers 2, 4, and 6 among its faces. There are 3 even numbers out of 6 total numbers. Thus, the probability of rolling an even number is 3/6 which simplifies to 1/2.
Q3
Easy
A bag contains 5 red balls and 3 blue balls. What is the probability of randomly selecting a red ball?
A.
5/8
B.
3/8
C.
1/2
D.
2/5
Show Answer & Explanation
Correct Answer: A
The probability of selecting a red ball is the number of red balls divided by the total number of balls. There are 5 red balls and 3 blue balls, making a total of 8 balls. Thus, the probability is 5/8.
Q4
Medium
A bag contains 5 red, 3 blue, and 2 green balls. If a ball is drawn at random, what is the probability that it is blue?
A.
1/5
B.
1/4
C.
3/10
D.
1/2
Show Answer & Explanation
Correct Answer: C
The total number of balls is 10 (5 red + 3 blue + 2 green). The probability of drawing a blue ball is the number of blue balls divided by the total number of balls, which is 3/10.
Q5
Medium
A die is rolled twice. What is the probability that the sum of the numbers rolled is 7?
A.
1/6
B.
1/12
C.
1/3
D.
1/36
Show Answer & Explanation
Correct Answer: A
The possible outcomes for getting a sum of 7 when rolling two dice are (1,6), (2,5), (3,4), (4,3), (5,2), (6,1). There are 6 favorable outcomes out of 36 total outcomes, giving a probability of 6/36, which simplifies to 1/6.
Q6
Medium
If the probability of raining tomorrow is 0.3, what is the probability that it will not rain tomorrow?
A.
0.7
B.
0.4
C.
0.3
D.
0.5
Show Answer & Explanation
Correct Answer: A
The probability that it will not rain is the complement of the probability that it will rain. Therefore, it is 1 - 0.3 = 0.7.
Q7
Medium
A bag contains 4 red, 6 blue, and 10 green marbles. What is the probability of randomly selecting a blue marble?
A.
1/10
B.
3/10
C.
1/5
D.
2/5
Show Answer & Explanation
Correct Answer: B
To find the probability of selecting a blue marble, we use the formula: P(blue) = number of blue marbles / total number of marbles = 6/(4+6+10) = 6/20 = 3/10.
Q8
Hard
A box contains 5 red, 3 blue, and 2 green balls. If one ball is drawn at random, what is the probability that it is either red or blue?
A.
0.8
B.
0.75
C.
0.6
D.
0.5
Show Answer & Explanation
Correct Answer: A
The total number of balls is 10 (5 red + 3 blue + 2 green). The favorable outcomes for drawing either a red or blue ball are 8 (5 red + 3 blue). Thus, the probability is 8/10 = 0.8.
Q9
Hard
A box contains 5 red balls, 3 blue balls, and 2 green balls. If two balls are drawn at random without replacement, what is the probability that both balls are red?
A.
2/15
B.
1/3
C.
1/5
D.
1/12
Show Answer & Explanation
Correct Answer: A
The total number of ways to choose 2 balls from 10 is 10C2 = 45. The number of ways to choose 2 red balls from 5 is 5C2 = 10. Thus, the probability is 10/45 = 2/15.
Q10
Hard
In a class of 30 students, 18 students play cricket, 12 students play football, and 5 students play both sports. What is the probability that a randomly selected student plays either cricket or football?
A.
0.4
B.
0.5
C.
0.6
D.
0.7
Show Answer & Explanation
Correct Answer: C
Using the principle of inclusion-exclusion, the number of students who play either sport is (18 + 12 - 5) = 25. Therefore, the probability is 25/30 = 0.6.
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Probability — IGCSE (Cambridge) IGCSE Mathematics Practice Questions Online
This page contains 131 practice MCQs for the chapter Probability in IGCSE (Cambridge) IGCSE Mathematics. The questions are organized by difficulty — 41 easy, 65 medium, 25 hard — so you can choose the right level for your preparation.
Every question includes a detailed explanation to help you understand the concept, not just memorize answers. Take a timed quiz to simulate exam conditions, or practice at your own pace with no time limit.