Question

the coin is flipped one more time. a tree diagram has been started for you to represent the possible outcomes. determine the results from another coin flip. what is the probability that the coin lands heads up all three times? 1/8 1/4 1/3 1/2

Explanation:

Step1: Determine probability of single - flip

The probability of getting heads in a single fair coin - flip is $\frac{1}{2}$.

Step2: Use multiplication rule for independent events

Since coin flips are independent events, for 3 flips, the probability of getting heads each time is $P(HHH)=\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}$.

Step3: Calculate the result

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

Answer:

$\frac{1}{8}$