Unit 8 Probability Flashcard (Fall 2024 Sorenson))

Front

Is the event INDEPENDENT or DEPENDENT?

Back

Dependent events are those where the outcome of one event affects the outcome of another. In this case, picking a second card without replacing the first card makes the events dependent.

Front

What does 'union' mean in probability?

Back

Union refers to the event that at least one of the events occurs. It is represented by the symbol 'U' and is often described as 'A or B'.

Front

What is the probability of randomly choosing a king or a diamond from a standard deck of cards?

Back

The probability is 4/13 or approximately 30.8%. There are 4 kings and 13 diamonds, but one king is also a diamond, so we use the formula P(A or B) = P(A) + P(B) - P(A and B).

Front

How do you calculate the total number of students surveyed?

Back

To find the total number of students surveyed, you need to sum the number of students in each category or group.

Front

What does P(Pizza|Senior) represent?

Back

P(Pizza|Senior) represents the conditional probability of choosing a pizza given that the student is a senior. In this case, it is 2/3.

Front

What is the difference between independent and dependent events?

Back

Independent events do not affect each other's outcomes, while dependent events do. For example, flipping a coin and rolling a die are independent; drawing cards without replacement is dependent.

Front

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

Back

The probability of an event is calculated as P(E) = Number of favorable outcomes / Total number of possible outcomes.

Front

What does 'intersection' mean in probability?

Back

Intersection refers to the event that both events occur simultaneously. It is represented by the symbol '∩' and is described as 'A and B'.

Front

How do you find the probability of two independent events occurring together?

Back

For independent events A and B, the probability of both occurring is P(A and B) = P(A) * P(B).

Front

What is a standard deck of cards?

Back

A standard deck of cards consists of 52 cards divided into 4 suits: hearts, diamonds, clubs, and spades, each containing 13 ranks.