Flashcards on Probability

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What is probability?

Probability is the measure of the likelihood that an event will occur.

What is the formula to calculate probability?

Probability = Number of favorable outcomes / Total number of possible outcomes

What is the range of probability?

Probability lies between 0 and 1, where 0 represents impossibility and 1 represents certainty.

What is the difference between theoretical and experimental probability?

Theoretical probability is based on mathematical reasoning, while experimental probability is based on data obtained from experiments or observations.

What are mutually exclusive events?

Mutually exclusive events are events that cannot occur at the same time.

What are independent events?

Independent events are events where the outcome of one event does not affect the outcome of the other event.

What is conditional probability?

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

What is the addition rule of probability?

The addition rule of probability states that the probability of the union of two events is the sum of their individual probabilities minus the probability of their intersection.

What is the multiplication rule of probability?

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

What is the complement rule of probability?

The complement rule of probability states that the probability of an event not occurring is equal to 1 minus the probability of the event occurring.

What are permutations?

Permutations are arrangements of objects in a specific order.

What are combinations?

Combinations are selections of objects without considering the order.

What is expected value in probability?

Expected value is the predicted value of a random variable, taking into account its probability of occurrence.

What is a sample space?

Sample space is the set of all possible outcomes of a random experiment.

What is the law of large numbers?

The law of large numbers states that as the number of trials in a probability experiment increases, the experimental probability gets closer to the theoretical probability.

What is probability?

Probability is the measure of the likelihood that an event will occur.

What is the formula to calculate probability?

Probability = Number of favorable outcomes / Total number of possible outcomes

What is the range of probability?

Probability lies between 0 and 1, where 0 represents impossibility and 1 represents certainty.

What is the difference between theoretical and experimental probability?

Theoretical probability is based on mathematical reasoning, while experimental probability is based on data obtained from experiments or observations.

What are mutually exclusive events?

Mutually exclusive events are events that cannot occur at the same time.

What are independent events?

Independent events are events where the outcome of one event does not affect the outcome of the other event.

What is conditional probability?

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

What is the addition rule of probability?

The addition rule of probability states that the probability of the union of two events is the sum of their individual probabilities minus the probability of their intersection.

What is the multiplication rule of probability?

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

What is the complement rule of probability?

The complement rule of probability states that the probability of an event not occurring is equal to 1 minus the probability of the event occurring.

What are permutations?

Permutations are arrangements of objects in a specific order.

What are combinations?

Combinations are selections of objects without considering the order.

What is expected value in probability?

Expected value is the predicted value of a random variable, taking into account its probability of occurrence.

What is a sample space?

Sample space is the set of all possible outcomes of a random experiment.

What is the law of large numbers?

The law of large numbers states that as the number of trials in a probability experiment increases, the experimental probability gets closer to the theoretical probability.

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