Independent and Dependent Events and Compound Probability

Front

What are independent events in probability?

Back

Independent events are events where the outcome of one event does not affect the outcome of another. For example, flipping a coin and rolling a die are independent events.

Front

What are dependent events in probability?

Back

Dependent events are events where the outcome of one event affects the outcome of another. For example, drawing two cards from a deck without replacement is a dependent event.

Front

What is compound probability?

Back

Compound probability refers to the probability of two or more events happening at the same time. It can involve independent or dependent events.

Front

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

Back

To find the probability of independent events A and B occurring together, multiply their individual probabilities: P(A and B) = P(A) * P(B).

Front

How do you calculate the probability of dependent events occurring together?

Back

To find the probability of dependent events A and B occurring together, multiply the probability of the first event by the conditional probability of the second event: P(A and B) = P(A) * P(B|A).

Front

What is the probability of choosing a letter from the word 'MATH' and then flipping a coin?

Back

The probability of choosing 'M' (1/4) and getting tails (1/2) is: P(M and T) = (1/4) * (1/2) = 1/8.

Front

If you have 10 marbles (6 white, 4 red), what is the probability of picking a white marble?

Back

The probability of picking a white marble is: P(white) = 6/10 = 3/5, which is likely.

Front

What is the probability of picking two black cards without replacement?

Back

If there are 26 cards with 13 black cards, the probability of picking two black cards is: P(black, then black) = (13/26) * (12/25) = 5/14.

Front

How do you simplify the probability of choosing blue M&M's from a total of 26?

Back

The probability of choosing blue M&M's is: P(blue) = 8/26, which simplifies to 4/13.

Front

What does it mean if an event is 'certain'?

Back

An event is certain if it is guaranteed to happen, with a probability of 1.