Independent and Dependent Events

A bag contains some red-colored and some blue-colored marbles. First a red-colored marble is drawn and then, without replacing the first marble, a blue-colored marble is drawn. Are the two events dependent or independent?

• Independent

• Dependent

Two marbles are drawn from a container in such a way that the first marble drawn is replaced before selecting the second marble. Does the outcome of the first draw affect the outcome of the second?

• Yes

• No

Determine if the following events are dependent or independent.
Anna flips a coin two times.

• Independent

• Dependent

Ten cards numbered 1-10 are placed in a hat. What is the probability of randomly drawing a card with an even number then a card with a number greater than or equal to five if the first card is replaced?

• 1/4

• 2/3

• 3/10

• 3/5

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

• 1/9

• 1/27

• 1/6

• 2/9

If you flip a coin then roll a number cube, is it independent or dependent probability?

• Independent

• Dependent

If you draw out a red marble, keep it, then draw out a blue marble, is it independent or dependent probability?

• Independent

• Dependent

If you flip a coin two times, is it independent or dependent probability?

• Independent

• Dependent

Dependent probability happens when the first item is not replaced, causing the total outcomes to decrease by 1.

• true

• false

Independent probability happens when the probability of the first event does not affect the probability of the second event.

• True

• False