Independent and Dependent Events

If you spin two times, what is the probability of landing on green both times? (leave answer in fraction form in lowest terms)

• 1/6

• 1/9

• 1/36

• 1/30

What is the probability of picking a red marble and keeping it, picking another red marble and keeping it, then picking a blue marble? (leave answer in fraction form in lowest terms)

• 2/105

• 4/343

• 2/63

• 4/210

A coin is tossed and a number cube is rolled. Find the probability,  P(heads and 7).

• 1/14

• 1/2

• 0

• 1/7

You are playing a game of scrabble. The tiles shown are dropped in a bag. You need to choose two tiles. What is the probability of choosing an "E", keeping it, and then choosing a "H"?

• 4/15

• 1/70

• 1/75

• 1/225

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

There are 2 violet balls and 4 pink balls in a bag. If two balls are drawn one after the other, then what is the probability of getting violet first and pink next, if the first ball drawn is replaced?

• 1/3

• 2/9

• 1/6

• 1/4

A cooler contains an assortment of juice boxes. You randomly choose a juice box and drink it. Then you randomly choose another juice box.

Event A: You choose an orange juice box first.

Event B: You choose a grape juice box second

Are these independent or dependent events?

• Independent

• Dependent

You are playing a game that requires rolling a die twice. Use a sample space to determine whether rolling a 2 and then a 6 are independent events.

Are the events independent?

• Yes, the events are independent.

• No, the events are not independent.

A game show host picks contestants for the next game, from an audience of 150. The host randomly chooses a thirty year old, and then randomly chooses a nineteen year old. Use a sample space to determine whether randomly choosing a thirty year old first and randomly selecting a nineteen year old second are independent events

• The events are independent.

• The events are not independent.