Dependent Events Probability Practice

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. Classify this event as dependent or independent.

• Independent

• Dependent

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

• 1 ⁄ 6

• 1 ⁄ 8

• 1 ⁄ 2

• 1 ⁄ 12

A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced. P(purple then black)

• 1/18

• 2/5

• 3/7

• 4/9

• 1
• 2
• 3
• 4

Are the events "takes Spanish" and "participates in a club" independent events?

• Yes, because P(S) is the same as P(S given C).

• No, because P(S) is not the same as P(S given C).

• Yes, because P(S) is the same as P(C given S).

• No, because P(S) is not the same P(C given S).

Are the events "Sports" and "Community Service" independent?

• Yes, because P(S) is the same as P(S Given CS).

• No, because P(S) is not the same as P(S Given CS).

• Yes, because P(S) is the same as P(CS Given S).

• No, because P(S) is not the same as P(CS Given S).

Let M represent the event of randomly selecting a male. Let S represent the event of randomly selecting a person that drives a SUV.

Determine if the events M and S are independent.

• Independent

• Not Independent

There are six nickels and seven dimes in your pocket. You randomly pick a coin out of your pocket and then return it to your pocket. Then you randomly pick another coin. Both times the coin is a nickel.

• 6/13

• 2/7

• 5/16

• 3/19

Sue will randomly select from a treat bag containing 6 lollipops and 4 gum balls. Sue will select a treat, not replace it, and then select a second treat.

• Independent

• Dependent