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If you flip three fair coins, what is the probability that you'll get all three tails?
Full solution
Q. If you flip three fair coins, what is the probability that you'll get all three tails?
- Find Coin Flip Outcomes: First, figure out the number of outcomes for one coin flip.There are outcomes: Heads (H) or Tails (T).
- Calculate Total Outcomes: Now, since we're flipping three coins, we need to find the total number of outcomes for all three flips.That's outcomes for the first coin, times for the second, times for the third.So, total outcomes.
- Determine All Tails: Next, we need to find the number of ways to get all tails ().There's only way to get all tails.
- Calculate Probability: Now, we calculate the probability of getting all tails.Probability = Number of ways to get all tails / Total number of outcomesSo, Probability = .
