Mathematics for IGCSE & O level - Probability (Section 8)
1
What is the probability of rolling an odd number on a standard six-sided die?
Хариулт
(C)
1/2
2
If the chance of rain is 40%, and the chance of wind is 20%, what is the chance of both events happening, assuming they're independent?
Хариулт
(B)
8%
3
A pin falls 300 times. The probability of the pin landing point up is 0.3. How many times is the pin expected to land point up?
Хариулт
(B)
90
4
A study found that 20% of a population has a certain disease. What is the probability that a randomly selected person *does not* have the disease?
Хариулт
(B)
80%
5
Anna selects a ball from a bag, notes its color, replaces it, and selects another. There are 4 green and 1 blue ball. What is the probability that the first ball is green and the second is blue?
Хариулт
(A)
4/25
6
A fair coin is flipped. What is the probability of getting heads?
Хариулт
(C)
0.5
7
If the probability that Sarah's bus is late on any given day is 0.2, what is the probability that her bus is late on just one of the two days?
Хариулт
(A)
0.04
8
When is the multiplication rule applicable to probability calculations?
Хариулт
(C)
For independent events.
9
In the case of drawing a ball from a bag without replacement. If there are seven blue and three red balls and you pick two balls. What is the probability of picking two blue balls?
Хариулт
(B)
42/90
10
A bag contains 7 red and 3 white marbles. What is the probability of selecting a white marble?
Хариулт
(C)
3/10
11
What is the definition of probability
Хариулт
(C)
The likelihood of an event occurring.
12
A basketball player makes 70% of their free throws. What is the probability they *miss* a free throw?
Хариулт
(A)
30%
13
What is the formula for calculating the probability of two independent events, A and B, both occurring?
Хариулт
(C)
P(A and B) = P(A) * P(B)
14
Which of the following are true regarding dependent events?
Хариулт
A
B
15
A spinner has four equal sections colored red, blue, green, and yellow. What is the probability of the spinner landing on red or blue?
Хариулт
(B)
1/2
16
What is the probability of rolling a number less than 5 on a six-sided die?
Хариулт
(D)
4/6
17
In the context of independent events, what is the most important aspect of the outcome of the events?
Хариулт
(B)
The events are not related
18
What are the two possible outcomes when flipping a coin?
Хариулт
A
B
19
A company surveyed 100 customers about their favorite ice cream flavors. 50 chose vanilla, 30 chose chocolate, and 20 chose strawberry. What is the probability that a randomly selected customer prefers chocolate?
Хариулт
(B)
3/10
20
A spinner has 4 equal sections: red, green, blue, and yellow. What is the probability it lands on blue?
Хариулт
(A)
1/4
21
If two events, A and B, are mutually exclusive, what can we say about the probability of both happening at the same time?
Хариулт
(B)
P(A and B) = 0
22
What does 'mutually exclusive' mean in the context of probability?
Хариулт
(B)
The events cannot occur at the same time.
23
A bag contains only red and white marbles. If the probability of drawing a red marble is 0.4, what is the probability of drawing a white marble?
Хариулт
(C)
0.6
24
What is the probability of rolling a 7 on a standard six-sided die?
Хариулт
(A)
0
25
Which of the following are examples of mutually exclusive events?
Хариулт
A
B
26
A jar contains 5 green and 7 yellow marbles. What is the probability that a randomly selected marble is yellow?
Хариулт
(B)
7/12
27
If the probability of an event occurring is 0.6, what is the probability of the event *not* occurring?
Хариулт
(A)
0.4
28
If the probability that Salima walks to school is 0.5, cycles is 0.2, and she goes by bus is 0.3. If she walks, the probability she's on time is 0.2. If she cycles, it's 0.1. If she goes by bus, it is 0.4. What is the probability that, on any given day, she is on time for school?
Хариулт
(B)
0.27
29
What does the probability of an event represent?
Хариулт
(C)
The likelihood of the event occurring.
30
What is the main characteristic of a dependent event?
Хариулт
(A)
The event influences the result of the other
31
How do you calculate the expected frequency of an event?
Хариулт
(D)
Probability of the event occurring * total number of observations of the event.
32
A card is drawn randomly from a standard deck. What is the probability of drawing a spade?
Хариулт
(B)
1/13
33
A fair coin is tossed. What is the probability of getting tails?
Хариулт
(C)
0.5
34
Which of the following methods can be used to find the probability?
Хариулт
A
B
D
35
When are two events considered independent?
Хариулт
(B)
When the outcome of the second event is not affected by the outcome of the first event.
36
Consider the statement: "The probability of an event happening is 0.8." What does this tell you?
Хариулт
B
C
37
If the probability of an event occurring is 1, what does this mean?
Хариулт
(C)
The event is certain to occur.
38
What is the probability of rolling an odd number on a standard six-sided die?
Хариулт
(C)
1/2
39
If the probability of Imran's bus being late is 0.2, what is the probability of his bus being late for three consecutive mornings (assuming independence)?
Хариулт
(A)
0.008
40
A bag contains 4 green balls and 1 blue ball. What is the probability of picking two green balls if the first ball is replaced?
Хариулт
(A)
16/25
41
A die is rolled. What is the probability of getting a number greater than 4?
Хариулт
(A)
1/6
42
What is the probability of the event not occurring, given the probability is 0.7?
Хариулт
(A)
0.3
43
What is the probability of drawing a black jack from a standard deck of 52 cards?
Хариулт
(B)
2/52
44
What is the key characteristic of mutually exclusive events?
Хариулт
(C)
They cannot occur at the same time.
45
Which of the following situations demonstrate independent events?
Хариулт
B
D
46
A company surveyed its employees about their favorite ice cream flavors. 30% chose vanilla, 40% chose chocolate, and 30% chose strawberry. What is the probability that an employee chosen at random *doesn't* choose vanilla?
Хариулт
(D)
70%
47
If the probability of event A is 0.3 and the probability of event B is 0.4, what is the probability of both events happening if the events are independent?
Хариулт
(A)
0.12
48
What is the probability of picking a black card from a standard deck of 52 playing cards?
Хариулт
(B)
1/2
49
A standard deck of cards is shuffled and a card is drawn. What is the probability the card is a heart?
Хариулт
(C)
1/4
50
In a set of data, if an event has a relative frequency of 0.25, what does this mean?
