Counting Principle and Probability

P(2 then 5) = ?

This means P(2) AND P(5)

• 1/6

• 1/12

• 1/36

Sarah has two spinners.  Spinner A has six equal sections and spinner B has eight equal sections. Sarah spins A first then B.  What is the probability that spinner A will land on blue and spinner B will land on purple?

• 1/12

• 1/24

• 7/12

• 11/24

Sarah has two spinners.  Spinner A has six equal sections and spinner B has eight equal sections. Sarah will spin the two spinners at the same time.  What is the probability that both spinners will land on a color that is not red?

• 1/6

• 7/6

• 4/7

• 1/3

At  a New Car Dealership a particular model comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?

• 180

• 23

• 12

• 60

A team of 17 volleyball players needs to choose three players to refill the water cooler.  How many different ways can the players be chosen?  (Order does not matter)

• 3360

• 560

• 4080

• 680

Find the number of possibilities:
A team of 17 softball players needs to choose three players to refill the water cooler.

• 272

• 4080

• 680

Find the number of possibilities:
A group of 25 people are going to run a race.  The top 8 finishers advance to finals.

The cafeteria has 2 choices of salads, 3 choices of entrees, and 2 choices of beverages. How many meal combinations are available and why?

• 7 because 2 + 3 + 2

• 12 because 2 x 3 x 2

A radio host plans to play one song from each of 3 CDs by a single artist.  The first CD includes 12 songs.  the second CD includes 14 songs, and the third includes 13 songs.  How many different combinations are possible?

• 39

• 2184

• 117

• 29

An ice cream shop offers a choice of three types of cones and 31 flavors of ice cream.  A customer gets to choose a cone and a type of ice cream.  How many different 1-scoop ice cream cones can a customer order? 

• 34

• 2

• 3

• 93