Independent and Dependent Events

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 event.

Front

What are dependent events in probability?

Back

Dependent events are events where the outcome of one event affects the outcome of another event.

Front

If a marble is drawn from a bag and replaced before drawing another, are the events independent or dependent?

Back

The events are independent.

Front

What is the probability of drawing a second marble from a bag if the first marble is replaced?

Back

The probability remains the same as the first draw since the first marble was replaced.

Front

In a spinner spun twice, if the first spin does not affect the second, what type of events are these?

Back

These are independent events.

Front

When flipping two coins simultaneously, what is the relationship between the outcomes of the flips?

Back

The outcomes are independent.

Front

What is the probability of both coins showing heads when flipped together?

Back

The probability is 1/4, as each coin flip is independent.

Front

If Ingrid draws a knight from the white pieces and a pawn from the black pieces, are these events independent?

Back

Yes, these events are independent.

Front

What is the total number of pieces Ingrid has in each color bag?

Back

Ingrid has 15 pieces in each color bag (8 pawns, 2 rooks, 2 bishops, 2 knights, 1 queen, and 1 king).

Front

How do you determine if two events are independent?

Back

Two events are independent if the occurrence of one does not change the probability of the other occurring.