Independent and Dependent Events

A bag contains red and blue colored marbles. First, a red colored marble is drawn and not replaced. A blue colored marble is drawn next. Is this an example of an independent or dependent event?

• independent

• dependent

Tags

CCSS.HSS.CP.A.5

There are 5 red marbles, 3 blue marbles, and 2 green marbles in a bag. What is the probability that Joe will randomly select a green marble, replace it, then randomly select a blue marble? Reduce your answer if possible.

•  $\frac{5}{20}$  

•  $\frac{6}{10}$  

•  $\frac{3}{50}$  

•  $\frac{1}{2}$  

An eight sided number cube is rolled two times. What is the probability that Paul will roll a number greater than 3 on the first roll, and a 2 on the second roll? Reduce your answer if possible.

• $\frac{3}{8}$

• $\frac{5}{64}$

• $\frac{5}{8}$

• $\frac{2}{64}$

There are 8 Jolly Ranchers, 5 Starbursts, 2 Hershey Kisses and 3 Twix bars. Once a candy is selected, it is not replaced. This is an example of a dependent event. True or False?

• True

• False

Tags

CCSS.HSS.CP.A.5

There are 3 red, 1 blue, and 2 yellow marbles in a bag. Once a marble is selected, it is not replaced. Find the probability of choosing two yellow marbles. Reduce your answer if possible.

• $\frac{1}{15}$

• $\frac{4}{9}$

• $\frac{1}{18}$

• $\frac{2}{15}$

Tags

CCSS.HSS.CP.B.9

A six sided number cube is rolled and a spinner is spun. Is this an example of an independent or dependent event?

• Independent

• Dependent

Tags

CCSS.HSS.CP.A.5

There are 10 pens and 15 pencils in a box. Once a pen or pencil is taken, it is not replaced. What is the probability that a student will choose a pen the first time and a pencil the second?

• $\frac{150}{225}$

• $\frac{140}{600}$

• $\frac{4}{9}$

• $\frac{1}{4}$

Madison picks a marble at random, puts it back then picks another one at random. Is this an example of an independent or dependent event?

• Independent

• Dependent

Tags

CCSS.HSS.CP.A.5

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

Tags

CCSS.HSS.CP.A.5

A six sided number cube is rolled two times. What is the probability of rolling an even number on the first roll and a 9 on the second roll? Reduce your answer if possible.

• $\frac{1}{2}$

• $\frac{1}{4}$

• $\frac{1}{6}$

• 0