A coin flip: A fair coin is tossed three times. The outcomes of the three tosses are recorded. Round your answers to four decimal places if necessary. Part: \( \mathbf{0} / \mathbf{3} \) Part 1 of 3 Assuming the outcomes to be equally likely, find the probability that all three tosses are "Tails." The probablility that all three tosses are "Talls" is

The chances of getting "Tails" in a single coin flip are 1 out of 2, or 0.5. When flipping the coin three times, the probability of getting "Tails" in all three flips is calculated by multiplying the probability of each individual flip: \( P(\text{TTT}) = P(T) \times P(T) \times P(T) = 0.5 \times 0.5 \times 0.5 = 0.125. \) So, the probability that all three tosses are "Tails" is \( 0.125 \) or \( 12.5\% \). Now, picture this: if you flip a coin repeatedly and record your results, it’s like a mini-gambling experiment, all while you're just trying to satisfy your curiosity about chance! The total possible outcomes for three flips are 2^3 = 8 (TTT, TTH, THT, THH, HTT, HTH, HHT, HHH). The only combo of all Tails is TTT, which shows you precisely why the odds are what they are!