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?
Trả lời
(C)
1/36
2
A person has a 60% chance of passing a test. What is the probability of them *failing* the test?
Trả lời
(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?
Trả lời
(B)
18%
4
What is the probability of drawing a red card (heart or diamond) from a standard deck of 52 playing cards?
Trả lời
(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?
Trả lời
(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?
Trả lời
(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?
Trả lời
(B)
2/5
8
If an event is certain to happen, what is its probability?
Trả lời
(C)
1
9
What is the relationship between the complement of an event and the event itself?
Trả lời
C
D
10
What does the probability of an event being 0 represent?
Trả lời
(B)
The event is impossible.
11
Which of the following describes the meaning of 'relative frequency' in probability?
Trả lời
(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?
Trả lời
(C)
3/4
13
A coin is tossed three times. What is the probability of getting tails all three times?
Trả lời
(C)
1/8
14
A bag contains 4 red balls and 8 blue balls. What is the probability of choosing a red ball?
Trả lời
(C)
4/12
15
If the probability of rain tomorrow is 30%, what is the probability it will *not* rain tomorrow?
Trả lời
(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?
Trả lời
(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?
Trả lời
(B)
1/3
18
If the odds of a horse winning a race are 1:3, what is the probability of the horse winning?
Trả lời
(B)
1/4
19
What is the probability of selecting a face card (Jack, Queen, or King) from a standard deck of 52 cards?
Trả lời
(D)
3/13
20
What is the probability of rolling a number greater than 4 on a standard six-sided die?
Trả lời
(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?
Trả lời
(B)
5/8
22
What is the expected frequency of an event?
Trả lời
(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?
Trả lời
(B)
12/15
24
Sarah rolls a fair six-sided die. What is the probability she rolls a number greater than 4?
Trả lời
(A)
1/6
25
What are dependent events?
Trả lời
(C)
Events where the outcome of one influences the outcome of the other.
26
If two events are independent, which statement is accurate?
Trả lời
(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?
Trả lời
(A)
0.25
28
A bag contains 4 red and 6 green marbles. What is the probability of picking a red marble?
Trả lời
(C)
4/10
29
What is the relationship between the probability of an event occurring and the probability of the event *not* occurring?
Trả lời
(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?
Trả lời
(B)
0.49
31
What is relative frequency?
Trả lời
(C)
The number of times an event occurs divided by the total number of trials.
32
Which of the following events are independent?
Trả lời
B
C
D
33
What is one key difference between the calculation of independent events to dependent events?
Trả lời
(A)
The probabilities of the event on the second set of branches are different
34
Which of the following situations represents independent events?
Trả lời
(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?
Trả lời
(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)
Trả lời
(B)
1/12
37
A fair coin is flipped twice. What is the probability of getting at least one head?
Trả lời
(C)
3/4
38
A bag contains 6 red and 9 blue marbles. What is the probability of picking a red marble?
Trả lời
(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))
Trả lời
(A)
P(A) + P(B)
40
What's the probability of getting at least one head when tossing a coin twice?
Trả lời
(C)
3/4
41
If the odds in favor of an event are 3:2, what is the probability of that event occurring?
Trả lời
(B)
3/5
42
A bag contains 4 red and 4 blue marbles. What is the probability of drawing a blue marble?
Trả lời
(C)
1/2
43
A spinner has five equal sections numbered 1 to 5. What is the probability of spinning a 3?
Trả lời
(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?
Trả lời
(C)
Dependent
45
What is the probability of getting a 2 or a 5 when rolling a single six-sided die?
Trả lời
(B)
1/3
46
Two dice are rolled. What is the probability the sum of the numbers is 7?
Trả lời
(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)?
Trả lời
(B)
0.15
48
Which of the following statements are true regarding the probability of an event?
Trả lời
A
B
D
49
In probability theory, what does the term 'independent events' signify?
Trả lời
(C)
Events whose probabilities are not affected by each other.
50
What is the range of values that a probability can have?
