Question

you flip a coin three times in a row. what is the probability you will get three heads, written as a fraction?

Explanation:

Step1: Determine single - toss probability

The probability of getting a head in a single coin - toss is $\frac{1}{2}$ since there are 2 possible outcomes (head or tail) and 1 favorable outcome (head).

Step2: Use multiplication rule for independent events

Since coin - tosses are independent events, the probability of getting 3 heads in a row is the product of the probabilities of getting a head in each individual toss. So, $P(HHH)=\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}$.

Step3: Calculate the result

$\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}=\frac{1}{8}$.

Answer:

$\frac{1}{8}$