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Three coins are simultaneously flipped, what is the probability that it lands exactly one head

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Q. Three coins are simultaneously flipped, what is the probability that it lands exactly one head
  1. Coin Flip Outcomes: There are 22 possible outcomes for each coin flip: heads (H) or tails (T).
  2. Total Possible Outcomes: For three coins, the total number of possible outcomes is 23=82^3 = 8.
  3. Favorable Outcomes for One Head: The favorable outcomes for exactly one head are: HTTHTT, THTTHT, TTHTTH.
  4. Counting Favorable Outcomes: Count the favorable outcomes: there are 33 ways to get exactly one head.
  5. Calculating Probability: Calculate the probability: Probability = Number of favorable outcomesTotal number of outcomes=38\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{3}{8}.

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