Question
upstudy study bank question image url

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 \( \square \)

Ask by Chan Hodgson. in the United States
Feb 15,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The probability that all three tosses are the same is 0.2500.

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

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!

Related Questions

Latest Probability Questions

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy