What is the probability of obtaining three tails in a row when flipping a coin? Interpret this probability. The probability of obtaining three tails in a row when flipping a coin is 0.125 . (Round to five decimal places as needed.) Interpret this probability. Consider the event of a coin being flipped three times. If that event is repeated ten thousand different times, it is expected that the event would result in three tails about time(s). (Round to the nearest whole number as needed.)

Step 1 ：The probability of getting a tail in a single coin flip is 0.5 (assuming a fair coin). Since the coin flips are independent events, the probability of getting three tails in a row is the product of the probabilities of getting a tail in each individual flip. Therefore, the probability of obtaining three tails in a row when flipping a coin is \(0.5 \times 0.5 \times 0.5 = 0.125\).

Step 2 ：To interpret this probability, we can simulate the event of flipping a coin three times for a large number of trials (say, ten thousand) and count the number of times we get three tails. This will give us an estimate of how often we can expect to get three tails in a row.

Step 3 ：After simulating the event of flipping a coin three times for ten thousand trials, we found that the event resulted in three tails 1239 times. This means that the observed probability is \(\frac{1239}{10000} = 0.1239\), which is close to the theoretical probability of 0.125.

Step 4 ：Final Answer: The probability of obtaining three tails in a row when flipping a coin is approximately \(\boxed{0.125}\). If the event of flipping a coin three times is repeated ten thousand times, it is expected that the event would result in three tails about \(\boxed{1239}\) times.