Mathematics for IGCSE & O level - Probability (Section 7)
1
A standard six-sided die is rolled twice. What is the probability of getting a 6 on both rolls?
Відповідь
(C)
1/36
2
A person has a 60% chance of passing a test. What is the probability of them *failing* the test?
Відповідь
(B)
40%
3
If the probability of rain is 60% and the probability of wind is 30%, and the events are independent, what is the probability of both rain *and* wind?
Відповідь
(B)
18%
4
What is the probability of drawing a red card (heart or diamond) from a standard deck of 52 playing cards?
Відповідь
(B)
1/2
5
What is the probability of not getting a multiple of 3 on a single spin of the spinner described in the previous question?
Відповідь
(B)
2/3
6
A school has 100 students. 60 students take art, 40 take music, and 20 take both. If a student is selected at random, what is the probability they take *either* art or music?
Відповідь
(A)
0.8
7
A spinner is divided into 5 equal sections, numbered 1 to 5. What is the probability of spinning an even number?
Відповідь
(B)
2/5
8
If an event is certain to happen, what is its probability?
Відповідь
(C)
1
9
What is the relationship between the complement of an event and the event itself?
Відповідь
C
D
10
What does the probability of an event being 0 represent?
Відповідь
(B)
The event is impossible.
11
Which of the following describes the meaning of 'relative frequency' in probability?
Відповідь
(C)
The ratio of the number of times an event occurs to the total number of trials.
12
A fair coin is tossed twice. What is the probability of getting at least one tail?
Відповідь
(C)
3/4
13
A coin is tossed three times. What is the probability of getting tails all three times?
Відповідь
(C)
1/8
14
A bag contains 4 red balls and 8 blue balls. What is the probability of choosing a red ball?
Відповідь
(C)
4/12
15
If the probability of rain tomorrow is 30%, what is the probability it will *not* rain tomorrow?
Відповідь
(B)
70%
16
A jar contains 8 red balls and 12 blue balls. If you randomly select a ball, what is the probability of choosing a red ball?
Відповідь
(A)
2/5
17
A spinner is divided into 3 equal sections, colored red, green, and blue. What is the probability of the spinner landing on green?
Відповідь
(B)
1/3
18
If the odds of a horse winning a race are 1:3, what is the probability of the horse winning?
Відповідь
(B)
1/4
19
What is the probability of selecting a face card (Jack, Queen, or King) from a standard deck of 52 cards?
Відповідь
(D)
3/13
20
What is the probability of rolling a number greater than 4 on a standard six-sided die?
Відповідь
(B)
2/6
21
A box contains 3 blue and 5 red marbles. If one marble is selected at random, what is the probability that it is red?
Відповідь
(B)
5/8
22
What is the expected frequency of an event?
Відповідь
(A)
The probability of an event multiplied by the total number of observations of the event.
23
A bag contains 5 red, 7 blue and 3 green marbles. What is the probability that a marble chosen at random is not green?
Відповідь
(B)
12/15
24
Sarah rolls a fair six-sided die. What is the probability she rolls a number greater than 4?
Відповідь
(A)
1/6
25
What are dependent events?
Відповідь
(C)
Events where the outcome of one influences the outcome of the other.
26
If two events are independent, which statement is accurate?
Відповідь
(C)
The probability of one event is unaffected by the other.
27
If the probability of an event is 0.75, what is the probability of the event *not* occurring?
Відповідь
(A)
0.25
28
A bag contains 4 red and 6 green marbles. What is the probability of picking a red marble?
Відповідь
(C)
4/10
29
What is the relationship between the probability of an event occurring and the probability of the event *not* occurring?
Відповідь
(B)
They add up to 1.
30
What's the probability of the train being late on the first two days, given the probability of a train being late is 0.7?
Відповідь
(B)
0.49
31
What is relative frequency?
Відповідь
(C)
The number of times an event occurs divided by the total number of trials.
32
Which of the following events are independent?
Відповідь
B
C
D
33
What is one key difference between the calculation of independent events to dependent events?
Відповідь
(A)
The probabilities of the event on the second set of branches are different
34
Which of the following situations represents independent events?
Відповідь
(B)
Flipping a coin and then rolling a die.
35
What is the probability of drawing a queen from a standard deck of 52 cards?
Відповідь
(C)
4/52
36
Two dice are rolled. What is the probability of rolling a 6 on one die and a 1 on the other? (Assume the dice rolls are independent)
Відповідь
(B)
1/12
37
A fair coin is flipped twice. What is the probability of getting at least one head?
Відповідь
(C)
3/4
38
A bag contains 6 red and 9 blue marbles. What is the probability of picking a red marble?
Відповідь
(C)
2/5
39
If events A and B are mutually exclusive, what is the probability of either A or B happening? (P(A or B))
Відповідь
(A)
P(A) + P(B)
40
What's the probability of getting at least one head when tossing a coin twice?
Відповідь
(C)
3/4
41
If the odds in favor of an event are 3:2, what is the probability of that event occurring?
Відповідь
(B)
3/5
42
A bag contains 4 red and 4 blue marbles. What is the probability of drawing a blue marble?
Відповідь
(C)
1/2
43
A spinner has five equal sections numbered 1 to 5. What is the probability of spinning a 3?
Відповідь
(A)
1/5
44
If a ball is selected at random from a bag containing seven blue and three red balls, and is NOT replaced, what type of event is this?
Відповідь
(C)
Dependent
45
What is the probability of getting a 2 or a 5 when rolling a single six-sided die?
Відповідь
(B)
1/3
46
Two dice are rolled. What is the probability the sum of the numbers is 7?
Відповідь
(C)
5/36
47
If two events, A and B, are independent, and P(A) = 0.3 and P(B) = 0.5, what is P(A and B)?
Відповідь
(B)
0.15
48
Which of the following statements are true regarding the probability of an event?
Відповідь
A
B
D
49
In probability theory, what does the term 'independent events' signify?
Відповідь
(C)
Events whose probabilities are not affected by each other.
50
What is the range of values that a probability can have?
