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