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 \( \square \)
Upstudy AI Solution
Answer
Solution

Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.

Answered by UpStudy AI and reviewed by a Professional Tutor
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!