Question Bank: Probability

Which of the following is an example of an elementary event?

Which statement about impossible events is true?

In a single trial of tossing a fair coin, what type of events are 'heads' and 'tails'?

If P(A) + P(A') = 1 for any event A, what does A' represent?

Which event can be classified as a sure event?

If you flip a fair coin twice, what are the possible outcomes that contain at least one tail?

What is the probability of getting heads when a fair coin is tossed?

Which of the following probability values is incorrect?

When a coin is tossed, which of the following outcomes is considered favorable if we want to get tails?

If a fair coin is tossed twice, what is the probability of getting at least one head?

What is the probability of tossing a fair coin three times and getting exactly two heads?

In a single toss of a fair coin, what is the probability of not getting heads?

Which of the following statements about a fair coin is true?

What is the total number of possible outcomes when a fair coin is tossed twice?

If a coin is tossed until heads appears, what is the probability that it will take exactly four tosses to get heads?

If you toss a coin 100 times, how many heads do you expect to obtain?

What is the probability of getting tails if you have already gotten heads on the first toss?

After tossing a fair coin 10 times, if you obtain heads 6 times, how would you calculate the probability of getting heads on the next toss?

Which of the following represents a type of probability that refers to outcomes in a theoretical sense?

In a fair coin toss, if you want to find the probability of exactly one head in three tosses, what is the method to find it?

What is the probability of rolling a fair die and getting a number greater than 4?

What is the probability of tossing a fair coin and getting heads twice in a row?

What is the total number of equally likely outcomes when tossing a fair coin?

When rolling a fair six-sided die, what is the probability of rolling an even number?

In a bag of 10 balls (3 red, 2 blue, 5 green), what is the probability of picking a red ball?

How many equally likely outcomes are there when spinning a fair spinner divided into 4 equal sections?

If you randomly select a card from a standard deck of 52 cards, what is the probability of drawing a heart?

What is the probability of rolling a sum of 7 with two six-sided dice?

What is the empirical probability of an event?

In a lottery with 3 winning numbers chosen from 10 total numbers, how many equally likely outcomes are there for the winning combination?

Which scenario is best suited for calculating empirical probability?

If the probability of an event is 1/5, what is the probability that the event does not occur?

What defines the theoretical probability of an event?

When flipping two coins, what is the probability of getting at least one head?

Which of the following statements about empirical and theoretical probability is true?

In a group of 12 students, how many ways can you select 2 students?

In a fair coin toss, what is the theoretical probability of getting heads?

If a spinner is divided into 5 equal sections, with colors red, blue, green, yellow, and orange, what is the probability of landing on blue?

If an experiment results in 20 successes out of 100 trials, what is the empirical probability of success?

If there are 20 students in a class and each student has an equal chance of being selected as a class representative, what is the probability of selecting a specific student?

Theoretical probability assumes which of the following?

What is the probability of drawing a queen from a standard deck of playing cards?

An event occurs 30% of the time during trials. If we conduct 50 trials, how many times do we expect the event to occur theoretically?

In which situation would you prefer theoretical probability over empirical probability?

If a dice is rolled once, what is the theoretical probability of rolling a number greater than 4?

What is a common pitfall when interpreting empirical probability?

If an event has a theoretical probability of 0.4, what is the empirical probability if 40 successful outcomes are observed in 200 trials?

Pierre Simon Laplace is known for which of the following contributions?

What is the consequence of using a biased die in empirical probability measurement?

What is the classical probability of an event defined as?

If a coin is tossed, what is the classical probability of getting tails?

How is classical probability of getting a specific face from a die calculated?

If an event has 3 favorable outcomes from 10 possible outcomes, what is its classical probability?

What was one of the first significant contributions to probability theory?

Which of the following statements reflects a common misconception in probability?

What would be the probability of rolling an even number on a fair six-sided die?

In a game where a player picks a card from a standard deck, what is the probability of picking an Ace?

If three coins are tossed, what is the probability of getting at least one tail?

What is the meaning of 'favorable outcomes' in classical probability?

If an event has a classical probability of 0, what does that signify?

Which statement correctly defines an event having a classical probability close to 1?

What is the probability of rolling a sum of 7 with two dice?

In a bag of 10 balls, 4 are red and 6 are blue. What is the probability of randomly selecting a blue ball?

What's the probability of drawing a heart from a standard deck of 52 playing cards?

If the probability of raining tomorrow is 0.3, what is the probability that it will not rain?

A coin is tossed three times. What is the probability of getting exactly two heads?

A box contains 5 red, 3 blue, and 2 green marbles. What is the probability of picking a red marble?

In a game, you roll a die. What is the probability of rolling a prime number?

If the probability of event A occurring is 0.4 and the probability of event B occurring is 0.5, what is the probability of both A and B occurring if they are independent?

What is the probability of getting at least one tail when flipping two coins?

In a lottery, the probability of winning is 1 in 1000. What is the probability of losing?

What is the probability of drawing one king from a standard deck of cards?

The probability that a student passes an exam is 0.75. What is the probability that the student fails?

If the probability of drawing a red card is 0.5, and you draw two cards without replacement, what is the probability that both are red?

What is the probability of selecting a number less than or equal to 3 when choosing from the set {1, 2, 3, 4, 5, 6}?

What is the probability of rolling a 6 on a fair die followed by a 5 on another fair die?