Stats - Chapter 4 Flashcard 2

Front

What is the probability of an event?

Back

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

Front

How do you calculate the probability of picking a specific item from a group?

Back

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

Front

What does it mean to pick items 'without replacement'?

Back

Picking without replacement means that once an item is selected, it is not returned to the group for subsequent selections.

Front

What is the union of two sets?

Back

The union of two sets A and B, denoted as A ∪ B, is the set of elements that are in A, in B, or in both.

Front

If A = {1, 2, 3} and B = {3, 4, 5}, what is A ∪ B?

Back

A ∪ B = {1, 2, 3, 4, 5}.

Front

What is the probability of an event that cannot happen?

Back

The probability of an event that cannot happen is 0.

Front

What is the probability of an event that is certain to happen?

Back

The probability of an event that is certain to happen is 1.

Front

How do you find the probability of multiple independent events occurring?

Back

For independent events, multiply the probabilities of each event: P(A and B) = P(A) * P(B).

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 the probability of 'A or B'?

Back

P(A or B) = P(A) + P(B) - P(A and B).