Question

evaluate independent practice
lesson 5.1 homework
complete the problems below for independent practice.
when you are done, check the solutions with a math teacher or tutor.
find the number of possible outcomes in the sample space. (see example 1)

1. you roll a die and flip three coins.

Explanation:

Step1: Determine outcomes for die

A die has 6 faces, so rolling a die has 6 possible outcomes.

Step2: Determine outcomes for three coins

Each coin flip has 2 outcomes (heads or tails). For three coins, by the multiplication principle, the number of outcomes is $2\times2\times2 = 2^3 = 8$.

Step3: Combine outcomes

To find the total number of outcomes in the sample space for rolling a die and flipping three coins, we multiply the number of outcomes for each event (by the fundamental counting principle). So we calculate $6\times8$.
$6\times8 = 48$

Answer:

48