Unit 5 Warm Up 11.18.24 [STATS]

Front

What is the probability of an event occurring?

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, where 0 indicates impossibility and 1 indicates certainty.

Front

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

Back

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

Front

What are mutually exclusive events?

Back

Mutually exclusive events are events that cannot occur at the same time. If one event occurs, the other cannot.

Front

How do you determine if two events are mutually exclusive?

Back

Two events A and B are mutually exclusive if the probability of both events occurring together is zero: P(A ∩ B) = 0.

Front

What is the formula for the probability of the union of two events?

Back

The probability of the union of two events A and B is given by: P(A ∪ B) = P(A) + P(B) - P(A ∩ B).

Front

What is a simulation in probability?

Back

A simulation in probability is a method used to model the behavior of a random process by conducting trials and observing the outcomes.

Front

What is the binomial probability formula?

Back

The binomial probability formula is used to find the probability of getting exactly k successes in n independent Bernoulli trials: P(X = k) = (n choose k) * p^k * (1-p)^(n-k).

Front

What does it mean for events to be independent?

Back

Two events A and B are independent if the occurrence of one does not affect the probability of the other: P(A ∩ B) = P(A) * P(B).

Front

How do you calculate the probability of at least one event occurring?

Back

The probability of at least one event occurring can be calculated using the complement rule: P(at least one) = 1 - P(none).

Front

What is the concept of conditional probability?

Back

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