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 (Round to five decimal places as needed.)
Answer
Final Answer: The probability of obtaining three tails in a row when flipping a coin is \(\boxed{0.125}\). This means that, on average, if we flip a coin three times, we would expect to get three tails in a row about 12.5% of the time.
Step 1 ：The probability of getting a tail in a single coin flip is 1/2. 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.
Step 2 ：probability = \(\frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} = 0.125\)
Step 3 ：Final Answer: The probability of obtaining three tails in a row when flipping a coin is \(\boxed{0.125}\). This means that, on average, if we flip a coin three times, we would expect to get three tails in a row about 12.5% of the time.
