Mathematics for IGCSE & O level - Probability (Section 5)
1
A die is rolled twice. Which of the following outcomes are possible?
Trả lời
A
C
2
A fair die is rolled. What is the probability of rolling a number greater than 4 or an even number?
Trả lời
(C)
2/3
3
Basma picks two pens at random. The bag contains 3 red pens and 5 blue pens. Which is the correct way to find the probability that Basma picks at least one blue pen?
Trả lời
A
B
C
4
Which of the following represents a mutually exclusive event when rolling a standard six-sided die?
Trả lời
(A)
Rolling an even number and rolling a 3.
5
If two events are independent, and the probability of Event A is 0.2 and the probability of Event B is 0.4, what is the probability of both events occurring?
Trả lời
(A)
0.08
6
What does the law of large numbers state?
Trả lời
(A)
As the number of trials increases, the experimental probability approaches the theoretical probability.
7
If events A and B are mutually exclusive, what is P(A or B) equal to?
Trả lời
(A)
P(A) + P(B)
8
What is the probability of drawing the Ace of Spades from a standard deck of 52 cards?
Trả lời
(C)
1/52
9
What is the probability of rolling an even number on a standard six-sided die?
Trả lời
(C)
1/2
10
A spinner is divided into four equal sections: red, blue, green, and yellow. What is the probability of *not* landing on yellow?
Trả lời
(C)
3/4
11
A bag contains 3 red, 4 yellow, and 2 green marbles. What is the probability of selecting a red or yellow marble?
Trả lời
(C)
4/9
12
A bag contains 5 red, 4 blue, and 3 green marbles. What is the probability of selecting a marble that is NOT blue?
Trả lời
(D)
7/12
13
What does a probability of 0 mean?
Trả lời
(C)
The event will never happen.
14
What is the probability of getting two heads in a row by tossing a fair coin twice?
Trả lời
(B)
1/4
15
Two events A and B are independent. P(A) = 0.4, P(B) = 0.3. What is the probability of either A or B occurring?
Trả lời
(B)
0.58
16
If two events, A and B, are mutually exclusive, and the probability of A is 0.2 and the probability of B is 0.3, what is the probability of A or B happening?
Trả lời
(B)
0.5
17
A coin is flipped twice. What is the probability of getting two heads?
Trả lời
(B)
1/4
18
Which is the correct way to express probability?
Trả lời
(D)
As a decimal, fraction, or percentage between 0 and 100%.
19
What is the probability of choosing a specific card from a standard deck of 52 playing cards?
Trả lời
A
B
20
When tossing a fair coin twice, what is the probability of getting heads on both tosses?
Trả lời
(B)
1/4
21
In a probability experiment, what does the term 'sample space' refer to?
Trả lời
(B)
The set of all possible outcomes.
22
In probability, what does the term 'outcome' refer to?
Trả lời
(B)
A possible result of an experiment.
23
A bag contains 2 red marbles, 5 blue marbles, and 3 yellow marbles. What is the probability of selecting a blue marble?
Trả lời
(B)
5/10
24
A die is rolled. What is the probability of getting a 1?
Trả lời
(B)
1/6
25
If two events, A and B, are independent, how do you calculate the probability of both A and B occurring?
Trả lời
(C)
P(A) * P(B)
26
What does it mean when the probability of an event is described as 'certain'?
Trả lời
A
C
27
There are 7 red and 3 yellow balls in a bag. Lee chooses a ball at random, notes its colour and replaces it. What is the probability that Lee chooses a red ball and then a yellow ball?
Trả lời
(A)
21/100
28
A survey showed that 40% of people prefer coffee and 60% prefer tea. If a person is selected at random, what is the probability they prefer either coffee or tea?
Trả lời
(D)
100%
29
A spinner has 8 equal sections, numbered 1 to 8. What is the probability of the spinner landing on a number greater than 6?
Trả lời
(B)
2/8
30
When drawing a ball from the bag. If the first ball selected is not replaced. What will this effect?
Trả lời
(C)
The probabilities on the second set of branches
31
A card is drawn from a standard deck of 52 cards. What is the probability of drawing a queen or a king?
Trả lời
(B)
2/13
32
Which events are mutually exclusive?
Trả lời
A
C
D
33
If the probability of an event happening is 60%, what is the probability of it *not* happening?
Trả lời
(C)
40%
34
A coin is flipped twice. What is the probability of getting heads both times?
Trả lời
(B)
1/4
35
A box contains 4 red and 6 blue balls. Two balls are drawn at random without replacement. What is the probability that both balls are red?
Trả lời
(D)
4/15
36
If an event is impossible, what is its probability?
Trả lời
(A)
0
37
In a tree diagram, if there are two branches coming from a point, what is the sum of the probabilities on those branches?
Trả lời
(C)
1
38
If an event is certain to occur, what is its probability?
Trả lời
(C)
1
39
Which of the following events are independent events?
Trả lời
A
C
D
40
If two events are independent, what does that mean regarding their probabilities?
Trả lời
(B)
The probability of one does not affect the probability of the other.
41
A coin is tossed once. What is the probability of getting tails?
Trả lời
(C)
1/2
42
If there are 5 blue pens and 5 red pens, what is the probability of Basma picking a blue pen? (Basma picks one pen).
Trả lời
(C)
1/2
43
If the odds of a certain event occurring are 4:1, what is the probability of that event occurring?
Trả lời
(B)
4/5
44
What does the sample space diagram helps to visualise?
Trả lời
(B)
The outcomes of two separate events.
45
A weather forecaster says there is a 70% chance of rain. What are the odds of it *not* raining (in fractional form)?
Trả lời
(B)
3/10
46
A box contains 3 green and 7 yellow marbles. What is the probability of selecting a yellow marble?
Trả lời
(B)
7/10
47
What is the probability of rolling an even number or a 1 on a standard six-sided die?
Trả lời
(D)
5/6
48
What is the probability of selecting a diamond from a standard deck of 52 playing cards?
Trả lời
(C)
1/4
49
If the chance of winning a certain game is 40%, what is the chance of *not* winning the game?
Trả lời
(C)
60%
50
If the probability of a train arriving on time is 0.7. What is the probability it arrives on time for two out of three days?
