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 1 of 3 Assuming the outcomes to be equally likely, find the probability that all three tosses are "Talls." The probability that all three tosses are "Talls" is 0.1250 . Part: \( 1 / 3 \) Part 2 of 3 Assuming the outcomes to be equally likely, find the probability that the tosses are all the same. The probability that the tosses are the same is \( \square \)
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Bonus Knowledge
When tossing a fair coin three times, there are a total of \( 2^3 = 8 \) possible outcomes. The outcomes where all tosses are the same include "TTT" (all tails) and "HHH" (all heads). Therefore, there are 2 successful outcomes out of 8 total possible outcomes. Thus, the probability that the tosses are all the same is \( \frac{2}{8} = 0.25 \). Next time you're flipping a coin or playing a game, remember: even simple scenarios like this can teach us about probability! Whether it’s choosing heads or tails, you’re exploring the fascinating world of chance. Since outcomes in a fair coin flip are independent, each toss maintains the same probabilities, making it a fun and educational activity to try at home!
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