Question

1. find the number of possible outcomes:

a sandwich shop has three types of sandwiches: ham,
turkey, and chicken. each sandwich can be ordered with
white bread, multi-grain bread, or rye bread.

1. find the number of possible outcomes:

a new car is available in a sedan model and a hatchback
model. it is available in red, white, green, and black.

1. find the number of possible outcomes:

a jewelry store sells gold and platinum rings. each ring is
fitted with a ruby, sapphire, or emerald gemstone.

1. find the number of possible outcomes:

the band must decide when to meet for a practice. the
possible days are tuesday through friday. the possible
times are 3, 4, or 5 p.m.

1. spinning these two spinners:

what is the total number of outcomes?

1. flipping the coin and rolling a six - sided die:

what is the total number of outcomes?

Explanation:

Step1: Use the fundamental counting principle

The fundamental counting principle states that if there are \(m\) ways to do one thing and \(n\) ways to do another thing, then there are \(m\times n\) ways to do both things.

Step2: Calculate for each problem

• Problem 3: There are \(3\) types of sandwiches and \(3\) types of bread. So the number of outcomes is \(3\times3 = 9\).
• Problem 4: There are \(2\) car models and \(4\) colors. So the number of outcomes is \(2\times4=8\).
• Problem 5: There are \(2\) types of rings (gold and platinum) and \(3\) gemstones. So the number of outcomes is \(2\times3 = 6\).
• Problem 6: There are \(4\) days (Tuesday - Friday) and \(3\) times. So the number of outcomes is \(4\times3=12\).
• Problem 7: The first spinner has \(3\) sections and the second spinner has \(4\) sections. So the number of outcomes is \(3\times4 = 12\).
• Problem 8: A coin has \(2\) outcomes (heads or tails) and a die has \(6\) outcomes. So the number of outcomes is \(2\times6=12\).

Answer:

1. \(9\)
2. \(8\)
3. \(6\)
4. \(12\)
5. \(12\)
6. \(12\)