Probability Review

Is the following probability situation independent or dependent?

A bag contains eight red marbles and four blue marbles. You randomly pick a marble and then pick a second marble without returning the marbles to the bag. Let  $A$   be the event that the first marble drawn is red, and  $B$   be the event that the second marble drawn is blue.

• Independent

• Dependent

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.4

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.8

Is the following probability situation independent or dependent?

You draw a card from the deck and then toss a coin. Let $A$  be the event that you draw a queen and $B$  be the event that the coin lands tails-up.

• Independent

• Dependent

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.4

CCSS.HSS.CP.B.8

Is the following probability situation conditional?

At Miss Patty’s Dance Studio, students can choose if they want to take tap, ballet, or both. What is the probability that, given the student takes ballet, they take both?

• yes

• no

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

Is the following probability situation conditional?

A box of chocolates contains five milk chocolates, five dark chocolates, and five white chocolates. You randomly select and eat three chocolates. What is the probability that you choose a milk chocolate and a white chocolate at random?

• yes

• no

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

Is the following probability situation independent, dependent, or conditional?

Two fair six-sided dice, one colored white and one colored red, are thrown. Find the probability that the score on the white die is 1 and red die is even.

• Independent only

• Dependent only

• Independent & conditional

• Dependent & conditional

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.8

Calculate the probability of the situation below:

There are nine shirts in your closet, four blue and five green. You randomly select a shirt, return it, and randomly select a second shirt. What is the probability of selecting a blue shirt both times?

• .198

• .167

• .247

• .278

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.B.8

Calculate the probability of the situation below:

A basket contains 5 apples and 7 peaches. You randomly select one fruit, return it, and randomly select a second fruit. What is the probability of selecting a peach first and an apple second?

• .224

• .207

• .265

• .243

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.B.8

Calculate the probability of the situation below:

You spin the two spinners (see picture). What is the probability of the left spinner landing on a number greater than 3 and the right spinner landing on B?

• 15%

• 10.4%

• 20.8%

• 25%

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.2

CCSS.HSS.CP.B.8

Calculate the probability of the situation below:

Two seniors, one from each government class are randomly selected to travel to Washington D.C. Wes is in a class of 18 students and Maureen is in a class of 20 students. What is the probability that both Wes and Maureen will be selected?

• .00278

• .00263

• .00327

• .00292

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.9

Calculate the probability of the situation below:

Your friend has a bag of 6 black checkers and 4 red checkers. What is the probability of drawing a black checker, replacing it, and drawing another black checker?

• $\frac{6}{25}$

• $\frac{9}{25}$

• $\frac{2}{5}$

• $\frac{3}{5}$

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.8