Mathematics for IGCSE & O level - Probability (Section 1)
1
If two events are independent, how do you calculate the probability of both events occurring?
პასუხი
(C)
Multiply their individual probabilities
2
When is the sum of all the probabilities of the outcomes of an event equal to 1?
პასუხი
(A)
Always
3
What is the relative frequency of an event if it occurs 15 times in 75 trials?
პასუხი
(D)
15/75
4
If a fair die is rolled twice, what is the probability of rolling a 6 on both rolls?
პასუხი
(A)
1/36
5
Which of the following scenarios represents independent events?
პასუხი
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?
პასუხი
(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?
პასუხი
A
B
C
8
When two events are mutually exclusive, what is the probability of both events occurring?
პასუხი
(A)
0
9
What is the probability of not rolling a 6 on a single roll of a standard six-sided die?
პასუხი
(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?
პასუხი
(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?
პასუხი
(B)
1/45
12
What are the possible outcomes when tossing a coin?
პასუხი
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?
პასუხი
(B)
2/15
14
What is the probability of rolling an odd number on a standard six-sided die?
პასუხი
(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?
პასუხი
(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?
პასუხი
(B)
3/5
17
Which of the following pairs of events are mutually exclusive?
პასუხი
A
C
18
A fair six-sided die is rolled. What is the probability of rolling a 2?
პასუხი
(A)
1/6
19
Which events are independent?
პასუხი
A
D
20
If two events are mutually exclusive, which of the following statements is true?
პასუხი
(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?
პასუხი
A
C
D
22
A die is rolled twice. What is the probability of getting a 6 on both rolls?
პასუხი
(C)
1/36
23
If the probability of an event is 1, then the event is:
პასუხი
(C)
Certain
24
What are the odds in favor of rolling a 4 on a standard six-sided die?
პასუხი
(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?
პასუხი
(A)
1/36
26
A box contains 3 red, 5 green, and 2 yellow balls. What is the probability of picking a yellow ball?
პასუხი
(B)
1/5
27
Which of the following is a correct way to represent probability?
პასუხი
A
B
D
28
Which of the following are considered independent events?
პასუხი
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?
პასუხი
(B)
0.5
30
What is the probability of *not* getting a tail when flipping a fair coin?
პასუხი
(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?
პასუხი
(B)
1/4
32
Which of the following scenarios represent mutually exclusive events?
პასუხი
A
B
D
33
Which events are mutually exclusive when drawing a single card from a standard deck of 52 cards?
პასუხი
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?
პასუხი
(C)
0.6
35
What is the probability of flipping a coin and getting tails?
პასუხი
(C)
1/2
36
What is the probability of getting tails when flipping a fair coin?
პასუხი
(C)
1/2
37
A fair coin is flipped twice. What is the probability of getting two heads?
პასუხი
(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?
პასუხი
(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?
პასუხი
(B)
1/3
40
What is the probability of not getting a tail when you toss a fair coin once?
პასუხი
(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)
პასუხი
(B)
0.09
42
What is the probability of choosing a yellow ball on the second draw, given that the ball is not replaced?
პასუხი
(A)
Depends on the colour of the first ball chosen
43
What is the definition of relative frequency?
პასუხი
(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?
პასუხი
(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?
პასუხი
(C)
1/2
46
A die is rolled. What is the probability of rolling a number greater than 4?
პასუხი
(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?
პასუხი
(B)
1/2
48
A standard deck of cards contains 52 cards. What is the probability of drawing a card that is a heart?
პასუხი
(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)
პასუხი
(B)
0.441
50
A card is drawn from a standard deck of 52 cards. What is the probability of drawing a spade?
