Flashcardizz: Probability of Compound Events

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.

Front

What is a compound event in probability?

Back

A compound event is an event that consists of two or more simple events. For example, rolling a die and flipping a coin.

Front

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

Back

The probability of two independent events A and B occurring together is calculated by multiplying their individual probabilities: P(A and B) = P(A) * P(B).

Front

What is conditional probability?

Back

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

Front

If P(A) = 0.5 and P(B) = 0.3, what is P(A and B) if A and B are independent?

Back

P(A and B) = P(A) * P(B) = 0.5 * 0.3 = 0.15.

Front

What is the formula for calculating the probability of a compound event?

Back

The probability of a compound event can be calculated using the formula: P(A or B) = P(A) + P(B) - P(A and B).

Front

What does it mean if the probability of an event is 0?

Back

If the probability of an event is 0, it means that the event is impossible and will not occur.

Front

What does it mean if the probability of an event is 1?

Back

If the probability of an event is 1, it means that the event is certain to occur.

Front

How do you find the probability of picking a specific color marble from a bag?

Back

To find the probability of picking a specific color marble, divide the number of marbles of that color by the total number of marbles in the bag.

Front

What is the probability of spinning red on a spinner with 4 equal sections?

Back

The probability of spinning red is 1/4, since there is 1 red section out of 4 total sections.