Final answer:
The probability of getting zero tails when flipping a fair coin three times is found by determining the number of ways to get three heads (HHH) over the total number of possible outcomes. There is only one way to get three heads, with eight possible outcomes in total, making the probability 1/8 or 0.125.
Step-by-step explanation:
To determine the probability of getting zero tails when flipping a fair coin three times, we need to examine the sample space for this experiment. The sample space is the set of all possible outcomes, which includes HHH, HHT, HTH, THH, HTT, THT, and TTT.
Getting zero tails corresponds to the outcome of getting three heads, which is represented by HHH. Since each outcome is equally likely, we can calculate the probability of getting zero tails (HHH) by dividing the number of occurrences of this outcome by the total number of outcomes in the sample space.
There is only one outcome with zero tails (HHH), and there are a total of 8 possible outcomes when flipping a coin three times. Thus, the probability is:
P(zero tails) = Number of outcomes with zero tails / Total number of outcomes
P(zero tails) = 1 / 8
The probability of getting zero tails when flipping a fair coin three times is 1/8 or 0.125.