the coin is flipped one more time. a tree diagram has been started for you to represent the possible…
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
Answer
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:
$\frac{1}{8}$