A2 Probability & Statistics Review

Front

What is the definition of probability?

Back

Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 and 1.

Front

What is the formula for calculating the probability of an event?

Back

The probability of an event A is given by the formula: P(A) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}.

Front

What is the difference between theoretical probability and experimental probability?

Back

Theoretical probability is based on the expected outcomes in a perfect world, while experimental probability is based on actual experiments and observed outcomes.

Front

If a six-sided die is rolled, what is the probability of rolling a number greater than 4?

Back

P(rolling > 4) = \frac{2}{6} = \frac{1}{3}.

Front

What is a sample in statistics?

Back

A sample is a subset of a population used to represent the entire group.

Front

What is a population in statistics?

Back

A population is the entire group of individuals or instances about whom we hope to learn.

Front

What is conditional probability?

Back

Conditional probability is the probability of an event occurring given that another event has already occurred, denoted as P(A|B).

Front

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

Back

P(drawing a red card) = \frac{26}{52} = \frac{1}{2}.

Front

What is the law of large numbers?

Back

The law of large numbers states that as the number of trials increases, the experimental probability will converge to the theoretical probability.

Front

What is the complement of an event?

Back

The complement of an event A is the event that A does not occur, denoted as A'. The probability of the complement is P(A') = 1 - P(A).