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?
Trả lời
(C)
0.75
2
Which of the following are correct when dealing with dependent events?
Trả lời
A
B
D
3
Which statement about probability is true?
Trả lời
(C)
The probability of an event is always a number between 0 and 1, inclusive.
4
Which of the following scenarios represents independent events?
Trả lời
(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?
Trả lời
(A)
0.4
6
A box contains 3 red, 4 blue and 2 green balls. What is the probability of choosing a blue ball?
Trả lời
(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?
Trả lời
(D)
7/12
8
What is the expected frequency?
Trả lời
(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?
Trả lời
(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?
Trả lời
(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?
Trả lời
(C)
12/20
12
What are the odds in favor of rolling an even number on a standard six-sided die?
Trả lời
(C)
1:1
13
If the probability of an event is 0.75, what is the probability that the event will *not* occur?
Trả lời
(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?
Trả lời
(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?
Trả lời
(A)
0.3
16
What is the relative frequency of an event?
Trả lời
(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?
Trả lời
(B)
Dependent events
18
If a fair six-sided die is rolled, what is the probability of rolling a number greater than 4?
Trả lời
(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?
Trả lời
(B)
3/5
20
What is the probability of drawing a black card (club or spade) from a standard deck of 52 playing cards?
Trả lời
(A)
1/2
21
What are the values that probability can have?
Trả lời
(D)
both b and c
22
If the probability of an event occurring is 0.8, what are the odds against that event happening?
Trả lời
(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?
Trả lời
(B)
2/5
24
What is relative frequency an estimate of?
Trả lời
(A)
probability
25
which method is useful for solving problems with dependent events?
Trả lời
(C)
Tree diagrams
26
If the probability of an event is 0, what does that mean?
Trả lời
(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?
Trả lời
(B)
0.04
28
What is the result of the calculation: 1 - P(event occurring)?
Trả lời
(C)
Probability of event not occurring.
29
Which events are mutually exclusive when rolling a die and flipping a coin?
Trả lời
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?
Trả lời
(B)
2/5
31
For independent events A and B, the probability of both A and B occurring is calculated by:
Trả lời
(C)
P(A) x P(B)
32
What is the complement of the event "rolling an even number" on a die?
Trả lời
(A)
Rolling an odd number
33
If two events are independent, how do you calculate the probability of both events occurring?
Trả lời
(B)
Multiply the probabilities of each event.
34
Which of the following statement(s) is/are correct regarding a probability tree diagram?
Trả lời
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?
Trả lời
(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?
Trả lời
A
B
C
37
What type of diagram can illustrate the outcomes and probabilities of two or more events?
Trả lời
(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)?
Trả lời
(B)
0.7
39
A standard deck of cards is shuffled. What is the probability of drawing a card that is a Queen?
Trả lời
(B)
1/13
40
A die is rolled. What is the probability of rolling a number less than 5?
Trả lời
(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?
Trả lời
(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?
Trả lời
(D)
8/10
43
The probability of a certain event occurring is 0.6. What is the probability of this event *not* occurring?
Trả lời
(B)
0.4
44
In the context of probability, what does 'mutually exclusive' mean?
Trả lời
(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?
Trả lời
(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?
Trả lời
(C)
3/13
47
What is the probability of rolling a 7 with two standard six-sided dice?
Trả lời
(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?
Trả lời
(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?
Trả lời
(C)
3/4
50
A sample space diagram is a two-way table listing all possible outcomes of what?
