Mathematics for IGCSE & O level - Probability (Section 1)
1
If two events are independent, how do you calculate the probability of both events occurring?
Відповідь
(C)
Multiply their individual probabilities
2
When is the sum of all the probabilities of the outcomes of an event equal to 1?
Відповідь
(A)
Always
3
What is the relative frequency of an event if it occurs 15 times in 75 trials?
Відповідь
(D)
15/75
4
If a fair die is rolled twice, what is the probability of rolling a 6 on both rolls?
Відповідь
(A)
1/36
5
Which of the following scenarios represents independent events?
Відповідь
B
C
D
6
In a class of 25 students, 10 students are wearing glasses. If a student is selected at random, what is the probability they are *not* wearing glasses?
Відповідь
(B)
3/5
7
A bag contains 8 green balls and 2 white balls. Two balls are selected without replacement. Which is/are the correct approach(es) to find the probability of selecting two balls of different colors?
Відповідь
A
B
C
8
When two events are mutually exclusive, what is the probability of both events occurring?
Відповідь
(A)
0
9
What is the probability of not rolling a 6 on a single roll of a standard six-sided die?
Відповідь
(C)
5/6
10
A jar contains 5 red, 7 green, and 3 blue marbles. What's the probability of choosing a red or green marble?
Відповідь
(D)
4/5
11
If there are 8 green balls and 2 white balls, two balls are selected without replacement. What is the probability of choosing two white balls?
Відповідь
(B)
1/45
12
What are the possible outcomes when tossing a coin?
Відповідь
A
B
13
In a bag with 6 red balls and 4 black balls. What is the probability of selecting 2 black balls, if the ball is not replaced?
Відповідь
(B)
2/15
14
What is the probability of rolling an odd number on a standard six-sided die?
Відповідь
(C)
1/2
15
A spinner is divided into 3 equal sections: red, green, and blue. What is the probability of the spinner landing on green?
Відповідь
(A)
1/3
16
A bag contains 4 red marbles and 6 blue marbles. If you pick one marble at random, what is the probability of picking a blue marble?
Відповідь
(B)
3/5
17
Which of the following pairs of events are mutually exclusive?
Відповідь
A
C
18
A fair six-sided die is rolled. What is the probability of rolling a 2?
Відповідь
(A)
1/6
19
Which events are independent?
Відповідь
A
D
20
If two events are mutually exclusive, which of the following statements is true?
Відповідь
(C)
The events cannot occur at the same time.
21
A spinner has 4 sections: Red, Green, Blue, and Yellow. Which of the following outcomes are possible if the spinner is spun once?
Відповідь
A
C
D
22
A die is rolled twice. What is the probability of getting a 6 on both rolls?
Відповідь
(C)
1/36
23
If the probability of an event is 1, then the event is:
Відповідь
(C)
Certain
24
What are the odds in favor of rolling a 4 on a standard six-sided die?
Відповідь
(A)
1:5
25
If you roll a six-sided die twice, what is the probability of rolling a 3 on the first roll and a 4 on the second roll?
Відповідь
(A)
1/36
26
A box contains 3 red, 5 green, and 2 yellow balls. What is the probability of picking a yellow ball?
Відповідь
(B)
1/5
27
Which of the following is a correct way to represent probability?
Відповідь
A
B
D
28
Which of the following are considered independent events?
Відповідь
A
B
D
29
If events A and B are mutually exclusive, and P(A) = 0.2 and P(B) = 0.3. What is the probability of either A or B?
Відповідь
(B)
0.5
30
What is the probability of *not* getting a tail when flipping a fair coin?
Відповідь
(B)
0.5
31
A spinner is divided into 8 equal sections, numbered 1 through 8. What is the probability of spinning a number greater than 5?
Відповідь
(B)
1/4
32
Which of the following scenarios represent mutually exclusive events?
Відповідь
A
B
D
33
Which events are mutually exclusive when drawing a single card from a standard deck of 52 cards?
Відповідь
B
C
34
In a class, 40% of the students are girls. If a student is selected randomly, what is the probability that the student is a boy?
Відповідь
(C)
0.6
35
What is the probability of flipping a coin and getting tails?
Відповідь
(C)
1/2
36
What is the probability of getting tails when flipping a fair coin?
Відповідь
(C)
1/2
37
A fair coin is flipped twice. What is the probability of getting two heads?
Відповідь
(B)
1/4
38
If two events, A and B, are independent, P(A) = 0.3 and P(B) = 0.6. What is the probability of A or B?
Відповідь
(D)
0.72
39
In a class, 10 students are wearing red shirts, 15 are wearing blue, and 5 are wearing green. What is the probability that a randomly selected student is wearing a blue shirt?
Відповідь
(B)
1/3
40
What is the probability of not getting a tail when you toss a fair coin once?
Відповідь
(C)
1/2
41
If the probability of a train arriving on time is 0.7, and the probability of the train being late is 0.3. What is the probability that the train is late on the first two days, but on time on the third day? (Independent events)
Відповідь
(B)
0.09
42
What is the probability of choosing a yellow ball on the second draw, given that the ball is not replaced?
Відповідь
(A)
Depends on the colour of the first ball chosen
43
What is the definition of relative frequency?
Відповідь
(C)
The ratio of the number of times an event occurs to the total number of trials.
44
What does the term "independent events" signify in probability?
Відповідь
(C)
Events where the occurrence of one does not influence the probability of the other.
45
What is the probability of getting heads when tossing a fair coin?
Відповідь
(C)
1/2
46
A die is rolled. What is the probability of rolling a number greater than 4?
Відповідь
(A)
1/6
47
A box contains 3 red balls, 4 green balls, and 5 blue balls. What is the probability of picking a green or red ball?
Відповідь
(B)
1/2
48
A standard deck of cards contains 52 cards. What is the probability of drawing a card that is a heart?
Відповідь
(C)
1/4
49
If the train is on time for two out of the three days, what is the probability? (Assume the probability of the train being on time is 0.7)
Відповідь
(B)
0.441
50
A card is drawn from a standard deck of 52 cards. What is the probability of drawing a spade?
