Mathematics for IGCSE & O level - Probability (Section 4)
1
If the probability of an event occurring is 0.25, what is the probability of that event *not* occurring?
Відповідь
(C)
0.75
2
Which of the following are correct when dealing with dependent events?
Відповідь
A
B
D
3
Which statement about probability is true?
Відповідь
(C)
The probability of an event is always a number between 0 and 1, inclusive.
4
Which of the following scenarios represents independent events?
Відповідь
(B)
Flipping a coin and then rolling a die.
5
In a school, 60% of the students are girls and 40% are boys. What is the probability of randomly selecting a boy?
Відповідь
(A)
0.4
6
A box contains 3 red, 4 blue and 2 green balls. What is the probability of choosing a blue ball?
Відповідь
(B)
4/9
7
A jar contains 4 red, 5 blue and 3 green marbles. What is the probability of drawing a marble that is not red?
Відповідь
(D)
7/12
8
What is the expected frequency?
Відповідь
(C)
Number of trials multiplied by the probability of the event occurring
9
In a standard deck of cards, are the events of drawing a King and drawing a Spade mutually exclusive?
Відповідь
(B)
No, because the King of Spades is a possible outcome.
10
If the probability of winning the first hockey match is 0.6, and if they win the first match, the probability of winning the second is 0.7, otherwise 0.4. What is the probability they win one of the first two matches?
Відповідь
(A)
0.66
11
In a bag with 6 red balls and 4 black balls. What is the probability of selecting one of each color, if the ball is not replaced?
Відповідь
(C)
12/20
12
What are the odds in favor of rolling an even number on a standard six-sided die?
Відповідь
(C)
1:1
13
If the probability of an event is 0.75, what is the probability that the event will *not* occur?
Відповідь
(A)
0.25
14
A basket contains 7 apples and 3 oranges. If a piece of fruit is selected at random, what is the probability it is an apple?
Відповідь
(B)
7/10
15
In a school, 70% of the students are female. If a student is chosen at random, what's the probability the student is male?
Відповідь
(A)
0.3
16
What is the relative frequency of an event?
Відповідь
(A)
number of times an outcome occurs / total number of trials
17
If the first ball chosen from a bag is not replaced, the second draw is an example of what?
Відповідь
(B)
Dependent events
18
If a fair six-sided die is rolled, what is the probability of rolling a number greater than 4?
Відповідь
(A)
1/6
19
A bag contains 4 red and 6 white marbles. If a marble is selected randomly, what is the probability that it is white?
Відповідь
(B)
3/5
20
What is the probability of drawing a black card (club or spade) from a standard deck of 52 playing cards?
Відповідь
(A)
1/2
21
What are the values that probability can have?
Відповідь
(D)
both b and c
22
If the probability of an event occurring is 0.8, what are the odds against that event happening?
Відповідь
(B)
4:1
23
A spinner has 5 equal sections: red, blue, green, yellow, and purple. What is the probability of spinning either red or blue?
Відповідь
(B)
2/5
24
What is relative frequency an estimate of?
Відповідь
(A)
probability
25
which method is useful for solving problems with dependent events?
Відповідь
(C)
Tree diagrams
26
If the probability of an event is 0, what does that mean?
Відповідь
(C)
The event is impossible.
27
Given that the probability of Sarah's bus being late on any day is 0.2. What is the probability that Sarah's bus is late on both of two days?
Відповідь
(B)
0.04
28
What is the result of the calculation: 1 - P(event occurring)?
Відповідь
(C)
Probability of event not occurring.
29
Which events are mutually exclusive when rolling a die and flipping a coin?
Відповідь
B
C
30
A bag contains 6 blue balls and 4 red balls. If a ball is chosen at random, what is the probability of selecting a red ball?
Відповідь
(B)
2/5
31
For independent events A and B, the probability of both A and B occurring is calculated by:
Відповідь
(C)
P(A) x P(B)
32
What is the complement of the event "rolling an even number" on a die?
Відповідь
(A)
Rolling an odd number
33
If two events are independent, how do you calculate the probability of both events occurring?
Відповідь
(B)
Multiply the probabilities of each event.
34
Which of the following statement(s) is/are correct regarding a probability tree diagram?
Відповідь
A
C
35
What is the probability of drawing a red ball on the first draw, not replacing it, and drawing a yellow ball on the second draw if there are 7 red balls and 3 yellow balls?
Відповідь
(B)
3/10
36
A bag contains 4 red marbles and 6 blue marbles. Which events are *independent* if you draw two marbles with replacement?
Відповідь
A
B
C
37
What type of diagram can illustrate the outcomes and probabilities of two or more events?
Відповідь
(C)
Probability Tree Diagram
38
If two events, A and B, are mutually exclusive and P(A) = 0.3 and P(B) = 0.4, what is P(A or B)?
Відповідь
(B)
0.7
39
A standard deck of cards is shuffled. What is the probability of drawing a card that is a Queen?
Відповідь
(B)
1/13
40
A die is rolled. What is the probability of rolling a number less than 5?
Відповідь
(C)
2/3
41
If the probability of an event occurring is 0.3 and the probability of a second independent event occurring is 0.4, what is the probability of both events occurring?
Відповідь
(B)
0.12
42
In a bag, there are 5 red marbles, 3 blue marbles, and 2 green marbles. What is the probability of randomly selecting a marble that is either red or blue?
Відповідь
(D)
8/10
43
The probability of a certain event occurring is 0.6. What is the probability of this event *not* occurring?
Відповідь
(B)
0.4
44
In the context of probability, what does 'mutually exclusive' mean?
Відповідь
(B)
The events cannot occur at the same time.
45
What is the complement of the event 'rolling an even number' on a six-sided die?
Відповідь
(B)
Rolling an odd number
46
What is the probability of drawing a face card (Jack, Queen, or King) from a standard deck of 52 playing cards?
Відповідь
(C)
3/13
47
What is the probability of rolling a 7 with two standard six-sided dice?
Відповідь
(A)
1/6
48
Consider a survey about favorite ice cream flavors. 30 people chose chocolate, 20 chose vanilla, and 10 chose strawberry. If a person is randomly selected, what is the probability that the person chose chocolate?
Відповідь
(C)
1/2
49
A spinner has 4 equal sections colored red, blue, green, and yellow. What is the probability that the spinner lands on a color that is not red?
Відповідь
(C)
3/4
50
A sample space diagram is a two-way table listing all possible outcomes of what?
