Problem

A coin is tossed 3 times. Find the probability that all are heads.

The probability that all are heads is
(Type an integer or simplified fraction.)

Answer

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Answer

Final Answer: The probability that all are heads is \( \boxed{\frac{1}{8}} \).

Steps

Step 1 :A coin is tossed 3 times. We need to find the probability that all are heads.

Step 2 :The probability of getting a head in a single toss of a fair coin is \( \frac{1}{2} \).

Step 3 :Since the tosses are independent, the probability of getting heads in all three tosses is the product of the probabilities of getting a head in each individual toss.

Step 4 :So, the probability of getting all heads is \( \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} = \frac{1}{8} \).

Step 5 :Final Answer: The probability that all are heads is \( \boxed{\frac{1}{8}} \).

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