Problem

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.)

Solution

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.

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Source: https://solvelyapp.com/problems/7510/

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