If we toss a fair coin 3 times, what's the probability that we get 3 heads in a row?
Question
If we toss a fair coin 3 times, what's the probability that we get 3 heads in a row?
Solution
Step 1: Understand the problem We are tossing a fair coin 3 times and we want to find the probability of getting 3 heads in a row.
Step 2: Identify the total number of outcomes When we toss a coin, there are 2 possible outcomes: heads (H) or tails (T). Since we are tossing the coin 3 times, the total number of outcomes is 2^3 = 8. These outcomes are: HHH, HHT, HTH, HTT, THH, THT, TTH, TTT.
Step 3: Identify the favorable outcomes The favorable outcome for this problem is getting 3 heads in a row, which is only one outcome: HHH.
Step 4: Calculate the probability The probability of an event is calculated by dividing the number of favorable outcomes by the total number of outcomes. In this case, the probability of getting 3 heads in a row is 1/8 = 0.125 or 12.5%.
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