Stats - Chapter 4 Flashcard 2

Front

What is probability?

Back

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

Front

How do you calculate the probability of an event?

Back

Probability of an event = (Number of favorable outcomes) / (Total number of outcomes).

Front

What is the probability of picking a blue marble from a bag containing 2 blue, 3 black, and 5 red marbles?

Back

Probability = 2/(2+3+5) = 2/10 = 1/5.

Front

What is the probability of picking a blue marble and then a red marble without replacement?

Back

Probability = (2/10) * (5/9) = 1/9.

Front

What does 'without replacement' mean in probability?

Back

'Without replacement' means that once an item is selected, it is not put back into the pool for subsequent selections.

Front

What is a sample space in probability?

Back

A sample space is the set of all possible outcomes of a probability experiment.

Front

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

Back

P(A and B) = P(A) * P(B).

Front

What is the difference between independent and dependent events?

Back

Independent events do not affect each other's outcomes, while dependent events do.

Front

How do you find the probability of an event that can occur in multiple ways?

Back

Add the probabilities of each individual way the event can occur.

Front

What is a favorable outcome in probability?

Back

A favorable outcome is an outcome that satisfies the conditions of the event we are interested in.