Question

question
how many different possible outcomes are there if you flip eight coins?
answer attempt 2 out of 2
16

Explanation:

Step1: Identify the number of outcomes per coin

Each coin flip has 2 possible outcomes (heads or tails), so for one coin, it's $2$ outcomes.

Step2: Use the multiplication principle for independent events

When flipping $n$ coins, the total number of outcomes is $2^n$ (since each flip is independent). Here, $n = 8$, so we calculate $2^8$.

Step3: Calculate $2^8$

$2^8 = 2\times2\times2\times2\times2\times2\times2\times2 = 256$.

Answer:

256