If a coin is flipped 10 times, what is the total number of possible outcomes?

When a coin is flipped, it has two possible outcomes for each flip: it can either land on heads or tails. To determine the total number of possible outcomes when flipping a coin multiple times, you can use the formula (2^n), where (n) is the number of flips.

In this case, since the coin is flipped 10 times, you would calculate (2^{10}). Here’s how that breaks down:

• The first flip has 2 outcomes.

• The second flip, independent of the first, also has 2 outcomes.

• This pattern continues for all 10 flips.

Therefore, the total number of outcomes is:

[

2^{10} = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 1024

]

Thus, the total number of possible outcomes when a coin is flipped 10 times is 1024. This is why the choice of 1024 is the correct answer in this scenario.