Probability Statistics AP

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, where 0 indicates impossibility and 1 indicates certainty.

Front

How do you calculate the probability of a single event?

Back

The probability of a single event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

Front

What is the formula for calculating the probability of independent events?

Back

For independent events, the probability of both events occurring is the product of their individual probabilities: P(A and B) = P(A) * P(B).

Front

What is the probability of drawing a marble that is not orange from a bag containing blue, red, and orange marbles?

Back

To find the probability of drawing a marble that is not orange, count the total number of non-orange marbles and divide by the total number of marbles.

Front

What is the concept of replacement in probability?

Back

Replacement in probability means that after an event occurs (like drawing a marble), the item is returned to the original set, keeping the total number of items constant for subsequent events.

Front

How do you calculate the probability of drawing two marbles of the same color with replacement?

Back

To calculate this, find the probability of drawing the first marble of that color and multiply it by the probability of drawing the same color again, since the first marble is replaced.

Front

What is the probability of getting tails on a coin toss and rolling a specific number on a die?

Back

The probability of both events occurring is the product of their individual probabilities: P(tails) * P(rolling a specific number).

Front

What is the concept of complementary events in probability?

Back

Complementary events are two outcomes of an event that are mutually exclusive and exhaustive, meaning one must occur if the other does not. The probability of an event and its complement adds up to 1.

Front

How do you calculate the probability of an event not occurring?

Back

The probability of an event not occurring is calculated as 1 minus the probability of the event occurring: P(not A) = 1 - P(A).

Front

What is the probability of winning a raffle with multiple tickets sold?

Back

The probability of winning a raffle is calculated by dividing the number of tickets you hold by the total number of tickets sold.