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Flip a dime, then flip a nickel, and then flip a penny.
Record whether each lands heads or tails up.
What is the total number of possible outcomes?


Sagot :

Using the Fundamental Counting Theorem, it is found that there is a total of 8 possible outcomes.

What is the Fundamental Counting Theorem?

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem, 3 coins will be flipped, each with two possible outcomes, hence:

[tex]n_1 = n_2 = n_3 = 2[/tex]

N = 2 x 2 x 2 = 8.

More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/24314866

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