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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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Outcomes of compound events

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

Calculate Total Outcomes: First, figure out the total number of outcomes for flipping three coins. Each coin has $2$ possible outcomes, so $2 \times 2 \times 2 = 8$ total outcomes.
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: $TTH$ , $THT$ , or $HTT$ .
Calculate Probability: Since there are $3$ ways to get the desired outcome and $8$ total possible outcomes, the probability is $\frac{3}{8}$ .

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