Flashcards on Probability

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What is the definition of probability?

Probability is a measure of the likelihood of an event occurring.

What is the range of probability values?

Probability ranges from 0 to 1, where 0 represents impossibility and 1 represents certainty.

What is the formula to calculate probability?

Probability = Number of favorable outcomes / Total number of outcomes

What is the difference between theoretical and experimental probability?

Theoretical probability is based on logical reasoning and calculations, while experimental probability is based on actual experiments or observations.

What is a sample space in probability?

Sample space is the set of all possible outcomes of an experiment or event.

What is an event in probability?

An event is a specific outcome or set of outcomes of an experiment or event.

What is the complement of an event?

The complement of an event is the set of all outcomes that are not part of the event.

What is the addition rule of probability?

The addition rule states that the probability of either of two mutually exclusive events occurring is the sum of their individual probabilities.

What is the multiplication rule of probability?

The multiplication rule states that the probability of two independent events both occurring is the product of their individual probabilities.

What is a conditional probability?

Conditional probability is the probability of an event occurring given that another event has already occurred.

What is the concept of expected value in probability?

Expected value is the average value of a random variable, weighted by their respective probabilities.

What does the law of large numbers state?

The law of large numbers states that as the number of trials or experiments increases, the experimental probability approaches the theoretical probability.

What is the concept of permutations in probability?

Permutations refer to the different ways in which objects or events can be arranged or ordered.

What is the concept of combinations in probability?

Combinations refer to the different ways in which objects or events can be selected or chosen without regard to the order.

What are independent events in probability?

Independent events are events where the occurrence or non-occurrence of one event does not affect the probability of the other event.

What is the definition of probability?

Probability is a measure of the likelihood of an event occurring.

What is the range of probability values?

Probability ranges from 0 to 1, where 0 represents impossibility and 1 represents certainty.

What is the formula to calculate probability?

Probability = Number of favorable outcomes / Total number of outcomes

What is the difference between theoretical and experimental probability?

Theoretical probability is based on logical reasoning and calculations, while experimental probability is based on actual experiments or observations.

What is a sample space in probability?

Sample space is the set of all possible outcomes of an experiment or event.

What is an event in probability?

An event is a specific outcome or set of outcomes of an experiment or event.

What is the complement of an event?

The complement of an event is the set of all outcomes that are not part of the event.

What is the addition rule of probability?

The addition rule states that the probability of either of two mutually exclusive events occurring is the sum of their individual probabilities.

What is the multiplication rule of probability?

The multiplication rule states that the probability of two independent events both occurring is the product of their individual probabilities.

What is a conditional probability?

Conditional probability is the probability of an event occurring given that another event has already occurred.

What is the concept of expected value in probability?

Expected value is the average value of a random variable, weighted by their respective probabilities.

What does the law of large numbers state?

The law of large numbers states that as the number of trials or experiments increases, the experimental probability approaches the theoretical probability.

What is the concept of permutations in probability?

Permutations refer to the different ways in which objects or events can be arranged or ordered.

What is the concept of combinations in probability?

Combinations refer to the different ways in which objects or events can be selected or chosen without regard to the order.

What are independent events in probability?

Independent events are events where the occurrence or non-occurrence of one event does not affect the probability of the other event.

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