Probability Practice Questions
SPM (Malaysia) · SPM Mathematics · 136 free MCQs with instant results and detailed explanations.
136
Total
49
Easy
69
Medium
18
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 one ball is drawn at random, what is the probability it is red?
A.
3/5
B.
2/5
C.
1/2
D.
1/5
Show Answer & Explanation
Correct Answer: A
The probability of drawing a red ball is calculated by dividing the number of red balls by the total number of balls. There are 3 red balls and 5 balls in total, so the probability is 3/5.
Q2
Easy
If the probability of raining tomorrow is 0.3, what is the probability that it will not rain?
A.
0.7
B.
0.3
C.
0.5
D.
0.2
Show Answer & Explanation
Correct Answer: A
The probability of an event not happening is equal to 1 minus the probability of the event happening. Therefore, the probability of not raining is 1 - 0.3 = 0.7.
Q3
Easy
A spinner is divided into 4 equal sections colored red, green, blue, and yellow. What is the probability of landing on green when the spinner is spun?
A.
1/4
B.
1/2
C.
1/3
D.
1/5
Show Answer & Explanation
Correct Answer: A
Since the spinner is equally divided into 4 sections, the probability of landing on any one color is the number of favorable outcomes (1 green) over the total number of outcomes (4 colors). Thus, the probability is 1/4.
Q4
Medium
A bag contains 5 red balls and 3 blue balls. If one ball is drawn at random, what is the probability that it is not blue?
A.
0.625
B.
0.375
C.
0.5
D.
0.25
Show Answer & Explanation
Correct Answer: A
The total number of balls is 5 red + 3 blue = 8. The probability of drawing a ball that is not blue is the ratio of non-blue balls (5 red) to total balls (8), which is 5/8 = 0.625.
Q5
Medium
A box contains 10 marbles: 4 green, 3 yellow, and 3 red. If two marbles are drawn at random without replacement, what is the probability that both marbles are yellow?
A.
0.1
B.
0.3
C.
0.07
D.
0.02
Show Answer & Explanation
Correct Answer: C
The probability of drawing the first yellow marble is 3/10. After drawing one yellow marble, there are 2 yellow marbles left out of 9 total marbles. Thus, the probability of drawing the second yellow marble is 2/9. The combined probability is (3/10) * (2/9) = 6/90 = 0.0667.
Q6
Medium
A family has three children. What is the probability that they have at least one girl?
A.
0.875
B.
0.5
C.
0.25
D.
0.75
Show Answer & Explanation
Correct Answer: A
The total outcomes for three children are 2^3 = 8. The only outcome with no girls is 'BBB', which is 1 outcome. Therefore, the probability of at least one girl is (Total outcomes - No girl outcomes) / Total outcomes = (8 - 1) / 8 = 7/8 = 0.875.
Q7
Medium
A card is drawn from a standard deck of 52 cards. What is the probability that the card drawn is either a heart or a queen?
A.
0.25
B.
0.27
C.
0.30
D.
0.20
Show Answer & Explanation
Correct Answer: A
There are 13 hearts and 4 queens in total. However, one of the queens is also a heart, which must be counted only once. Thus, the total favorable outcomes are 13 + 4 - 1 = 16. The probability is 16/52 = 0.25.
Q8
Hard
In a game, a player can either win, lose, or draw a match. The probability of winning is 0.5, losing is 0.3, and drawing is 0.2. If a player plays three matches, what is the probability that the player will win exactly two matches?
A.
0.18
B.
0.20
C.
0.12
D.
0.15
Show Answer & Explanation
Correct Answer: A
Using the binomial probability formula P(X=k) = C(n,k) * p^k * (1-p)^(n-k), we find the probability of winning exactly 2 matches out of 3, which equals 0.18.
Q9
Hard
In a box containing 5 red, 3 blue, and 2 green marbles, what is the probability of randomly selecting a blue marble followed by a red marble without replacement?
A.
1/6
B.
1/9
C.
1/4
D.
1/3
Show Answer & Explanation
Correct Answer: B
To find the probability of selecting a blue marble followed by a red marble without replacement, we first calculate the probability of selecting a blue marble (3/10), and then the probability of selecting a red marble after that (5/9). Thus, the total probability is (3/10) * (5/9) = 15/90 = 1/6.
Q10
Hard
In a bag containing 6 red, 4 blue, and 10 green marbles, if a marble is drawn at random, what is the probability that it is either red or blue?
A.
1/2
B.
2/5
C.
1/3
D.
3/10
Show Answer & Explanation
Correct Answer: A
The total number of marbles is 6 + 4 + 10 = 20. The number of favorable outcomes (red or blue) is 6 + 4 = 10. Thus, the probability is 10/20 = 1/2.
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Probability — SPM (Malaysia) SPM Mathematics Practice Questions Online
This page contains 136 practice MCQs for the chapter Probability in SPM (Malaysia) SPM Mathematics. The questions are organized by difficulty — 49 easy, 69 medium, 18 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.