Question Bank: Probability

What is the probability of an impossible event?

If P(A) = 0.4, what is P(not A)?

Which of the following statements about mutually exclusive events is true?

If two events A and B are independent, what can be said about P(A and B)?

In a sample space with 10 equally likely outcomes, if event A consists of 4 outcomes, what is P(A)?

What is the probability of the union of two mutually exclusive events A and B?

If P(A) = 0.2 and P(B) = 0.3, what is P(A or B) if A and B are independent?

Consider a deck of cards. What is the probability of drawing a heart or a diamond?

If an event A has a probability of 0.6, what can be said about the event A' (not A)?

Given P(A) = 0.1 and P(B) = 0.2 with P(A ∩ B) = 0.02, what is P(A ∪ B)?

In an experiment, what does the sample space represent?

What is the probability of drawing a red card from a standard deck of cards?

What does it mean if two events A and B are independent?

If the probability of rolling a sum of 7 on two dice is 1/6, what can be said about rolling a sum of 4?

If event A occurs with a probability of 0.7, what is the minimum probability of event B for P(A ∩ B) to be non-zero?

What represents the complement of event A?

If event A occurs with outcomes {1, 2, 3} and event B with outcomes {3, 4, 5}, what is A ∩ B?

What does A ∪ B signify?

In which case are two events A and B called mutually exclusive?

For the events A = {HHT, HTH, TTH} and B = {HHT, THT}, what is A - B?

Which of the following represents at least one head appearing when tossing a coin thrice?

If A = {2, 3, 5} and B = {1, 3, 5}, what is A ∩ B?

From the event A = {HHT, HTH, THH}, what is the complementary event A' in a sample space S = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}?

When assessing two events, A and B, where A occurs on rolling a 6 and B on summing two throws being 11 or more, what is A ∩ B?

A and B are events defined in a dice experiment. When is the event A or B empty?

If event A has outcomes {x, y} and event B has outcomes {y, z}, what is A ∩ B?

In a sample space S containing {1, 2, 3, 4, 5, 6}, if A is the event 'even numbers', what is A'?

Two events are called independent if?

If event A occurs with probability 0.5 and event B, which is independent of A, occurs with probability 0.3, what is P(A ∩ B)?

Which of the following events are considered mutually exclusive?

If you draw one card from a standard deck, are the events 'drawing a heart' and 'drawing a club' mutually exclusive?

An experiment consists of rolling a die. Event A is that the die shows an odd number, and Event B is that it shows a number less than 4. Are A and B mutually exclusive?

In a survey, Event A represents 'individuals who prefer tea' while Event B represents 'individuals who prefer coffee'. Are these events mutually exclusive?

Which situation illustrates mutually exclusive events?

If two events have no outcomes in common, what can we conclude about them?

When flipping two coins, what are the events 'both coins show heads' and 'at least one coin shows tails' considered?

In a single toss of a fair coin, if Event A is 'the coin lands heads' and Event B is 'the coin lands tails', what relationship do A and B have?

Select the pair of events that can never occur simultaneously.

If Events C and D are mutually exclusive, what can we say about the probability of their intersection?

If two events A and B are mutually exclusive, what is P(A ∩ B)?

Which of the following pairs of events are NOT mutually exclusive?

When you roll a die, which two events are guaranteed to be mutually exclusive?

If a single die is thrown, the events 'rolling a number less than 4' and 'rolling a number greater than 4' are:

In a game where you can either draw a red card or a black card, what is the relationship between these two outcomes?

Which of the following events is NOT exhaustive for a die roll?

Which events formed by a die roll are mutually exclusive?

If events A, B, and C are defined based on rolling a die as follows: A = {1, 2}, B = {2, 3}, C = {3, 4}, which statement is true?

Identify an exhaustive set from the following events involving tossing a coin three times.

Which set of events from rolling two dice is exhaustive?

If events X, Y, and Z are defined such that X = {1, 3}, Y = {2, 4}, and Z = {5, 6}, what can be concluded?

Consider two events A and B related to the outcome of a card draw from a deck. If A is drawing a red card and B is drawing a black card, which statement is true?

Which pair of events regarding the number rolled on a die is mutually exclusive?

Which of the following combinations of events involving a single coin toss are mutually exclusive and exhaustive?

Given events A = {1}, B = {2}, C = {3}, what conclusion can be drawn from these events related to rolling a die?

If event A represents the occurrence of rolling an odd number and event B rolling an even number, which is true?

In an experiment of throwing a die, if the events are defined as A: {1, 2} and B: {3, 4}, which of the following is true?

When two events E1 and E2 are defined from rolling a die such that E1 = {1, 2, 3} and E2 = {3, 4, 5}, what can be said about E1 and E2?

Identifying a proper exhaustive set from the events related to three coin tosses tells us what?

Which of the following represents the sample space of rolling a single die?

According to the axiomatic approach, what is the probability of the null set?

If two events A and B are mutually exclusive, what does this mean about their probabilities?

What is the total probability of the sample space S?

In a fairness of coin toss, if P(H) = 0.5, what is P(T)?

If event E has a probability of 0.3, what can we deduce about P(E')?

Which of the following is true for two events A and B if they are exhaustive?

If A and B are independent events, what is true about P(A ∩ B)?

Which of the following statements about the axiomatic approach is correct?

Which of the following events occurs when rolling two dice and getting a sum of 9?

If an event E has P(E) = 0.75, what is the expected error in its occurrence?

What does P(A ∪ B) equal when A and B are mutually inclusive?

If an event has a probability greater than 1, it is considered what?

In an experiment where a fair die is rolled, which of the following is an elementary event?

If events A and B are complementary, what is true about their probabilities?