Events and Independence

Determine if the following events are independent or not.

• Independent

• Not Independent

Are the two events independent of each other?

Choosing a marble from bag #1, and then choosing a marble from bag #2.

• Independent

• Not Independent

• Not enough info

Are the two events independent?

Selecting a marble from a bag, keeping it, and then selecting another marble.

• Independent

• Not Independent

• Not enough info

Are the two events independent?

Rolling an even number on a die, and then rolling it again to get a five.

• Independent

• Not Independent

• Not enough info

Are the two events independent?

Selecting a marble from a bag, replacing it, and then selecting another marble.

• Independent

• Not Independent

• Not enough info

Are the two events independent?

Spinning a spinner to get a blue, and then flipping a coin to get a head.

• Independent

• Not Independent

• Not enough info

The given two events, Event A and Event B are independent events.

P(A) = 0.4

P(A and B) = .22

P(B) = _______

Hint: use the formula and solve for P(B)

• P(B) = 0.55

• P(B) = 0.62

• P(B) = 0.088

• P(B) = 0.18

Determine if the following are independent or not.

(A) = 0.55

P(B) = 0.20

P(A and B) = 0.11

• Independent

• Not Independent

Determine if the following are independent or not.

(A) = 0.7

P(B) = 0.45

P(A and B) = 0.35

• Independent

• Not Independent

Determine the probability of the event happening.

A bag of marbles has 3 red and 6 green marbles. What is the probability of selecting two red with replacement?