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If you flip three fair coins, what is the probability that you'll get two tails and one head in any order?

If you flip three fair coins, what is the probability that you'll get two tails and one head in any order?

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Full solution

Q. If you flip three fair coins, what is the probability that you'll get two tails and one head in any order?
  1. Calculate Total Outcomes: First, figure out the total number of outcomes for flipping three coins. Each coin has 22 possible outcomes, so 2×2×2=82 \times 2 \times 2 = 8 total outcomes.
  2. Identify Ways for Two Tails and One Head: Now, let's find the number of ways to get two tails and one head. This can happen in three ways: TTHTTH, THTTHT, or HTTHTT.
  3. Calculate Probability: Since there are 33 ways to get the desired outcome and 88 total possible outcomes, the probability is 38\frac{3}{8}.

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