Problem

If you flip a coin three times, the possible outcomes are HHH HHT HTH HTT THH THT TTH TIT What is the probability of getting at least one head?
A. $\frac{1}{4}$
B. $\frac{1}{2}$
C. $\frac{3}{4}$
D. $\frac{7}{8}$

Answer

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Answer

Final Answer: The probability of getting at least one head when flipping a coin three times is \(\boxed{\frac{7}{8}}\).

Steps

Step 1 :The problem is asking for the probability of getting at least one head when flipping a coin three times.

Step 2 :The total number of outcomes when flipping a coin three times is \(2^3 = 8\). These outcomes are HHH, HHT, HTH, HTT, THH, THT, TTH, TTT.

Step 3 :The event of getting at least one head includes all outcomes except TTT. So, the number of favorable outcomes is 7.

Step 4 :The probability of an event is the ratio of the number of favorable outcomes to the total number of outcomes. So, the probability of getting at least one head is \(\frac{7}{8}\).

Step 5 :Final Answer: The probability of getting at least one head when flipping a coin three times is \(\boxed{\frac{7}{8}}\).

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