Independent and Dependent Probability Review

Front

What is independent probability?

Back

Independent probability occurs when the outcome of one event does not affect the outcome of another event.

Front

What is dependent probability?

Back

Dependent probability occurs when the outcome of one event affects the outcome of another event.

Front

What is the probability of rolling a die and landing on a 4, and then rolling the die again and landing on any even number?

Back

1/12

Front

If a marble bag contains 3 red marbles, 4 gray marbles, 6 white marbles, and 5 black marbles, what is the probability of drawing a red marble and then a gray marble if the first marble is replaced?

Back

Independent

Front

What is the probability of drawing a 7 from a deck of 52 cards and then pulling a blue marble from a bag containing 4 red, 6 blue, 3 green, and 2 yellow marbles?

Back

2/65

Front

If there are 2 violet balls and 4 pink balls in a bag, what is the probability of getting a violet ball first and a pink ball next if the first ball drawn is replaced?

Back

2/9

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

If the probability of event A is 1/4 and the probability of event B is 1/3, what is the probability of both events occurring if they are independent?

Back

1/12

Front

What is the probability of drawing a red marble from a bag of 10 marbles (3 red, 7 blue) and then drawing a blue marble without replacement?

Back

21/90 or 7/30