Independent and Dependent Events

Front

What is the definition of independent events in probability?

Back

Independent events are two or more events where the outcome of one event does not affect the outcome of the other events.

Front

What is the definition of dependent events in probability?

Back

Dependent events are two or more events where the outcome of one event affects the outcome of the other events.

Front

If you flip a coin and roll a die, are these events independent or dependent?

Back

Independent

Front

What happens to the total outcomes in dependent probability when the first item is not replaced?

Back

The total outcomes decrease by 1.

Front

What is the probability of picking a red marble, keeping it, then picking another red marble and keeping it, and then picking a blue marble?

Back

2/105

Front

What is the probability of getting all 5 true or false questions correct by guessing?

Back

1/32

Front

If you draw a card from a hat with numbers 1-10, what is the probability of drawing an even number and then a number greater than or equal to five if the first card is replaced?

Back

3/10

Front

What is the formula for calculating the probability of independent events?

Back

P(A and B) = P(A) * P(B) where A and B are independent events.

Front

What is the formula for calculating the probability of dependent events?

Back

P(A and B) = P(A) * P(B|A) where P(B|A) is the probability of B given A has occurred.

Front

What is an example of independent events in real life?

Back

Flipping a coin and rolling a die.