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If you flip three fair coins, what is the probability that you'll get all three heads?

If you flip three fair coins, what is the probability that you'll get all three heads?

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Full solution

Q. If you flip three fair coins, what is the probability that you'll get all three heads?
  1. Count Possible Outcomes: Count the total possible outcomes for flipping one coin.\newlineHeads or Tails, so 22 outcomes.\newlineFor three coins, it's 2×2×2=82 \times 2 \times 2 = 8 total outcomes.
  2. Number of Ways: Find the number of ways to get all heads.\newlineOnly one way: Heads, Heads, Heads.
  3. Calculate Probability: Calculate the probability of getting all heads.\newlineProbability = Number of ways to get all headsTotal possible outcomes\frac{\text{Number of ways to get all heads}}{\text{Total possible outcomes}}.\newlineProbability = 18\frac{1}{8}.

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