Question

14.
If we flip a coin eight times, how many possible sequences of eight coin faces (i.e., heads or tails) can we have?
1,024
512
256
2,048

Answer 1

Using the Fundamental Counting Theorem, the number of possible sequences of eight coin faces is of 256.

What is the Fundamental Counting Theorem?

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

$N = n_1 \times n_2 \times \cdots \times n_n$

In this problem, there are 8 events, each with 2 possible outcomes, hence:

$n_1 = n_2 = \cdots = n_8 = 2$

Hence, the total number of sequences is given by:

$N = 2^8 = 256$.

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

#SPJ1