Question

Using the Counting Principle, determine how many outcomes are possible.

a) 12 outcomes
b) 36 outcomes
c) 64 outcomes
d) 128 outcomes

Answer 1

The Counting Principle states that if there are m ways to do one thing and n ways to do another thing, then there are m * n ways to do both things. For this problem, there are 2 possible outcomes for the coin flip (heads or tails) and 6 possible outcomes for the roll of the die, leading to a total of 12 outcomes.

Step-by-step explanation:

The Counting Principle states that if there are m ways to do one thing and n ways to do another thing, then there are m * n ways to do both things.

For this problem, we have one coin flip and one roll of a six-sided die. There are 2 possible outcomes for the coin flip (heads or tails) and 6 possible outcomes for the roll of the die. To determine the total number of outcomes, we multiply the number of outcomes for each event: 2 * 6 = 12 outcomes. Therefore, the correct answer is option a) 12 outcomes.