Question
upstudy study bank question image url

A number cube is rolled three times in a row. Find each probabilit 17. \( P \) (all + 's) 18. \( P \) (odd number, then odd number, then even number)

Ask by Logan Simmons. in the United States
Mar 15,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The probability of all + 's is \( \frac{1}{216} \) or about 0.0046. The probability of rolling an odd number, then another odd number, then an even number is \( \frac{1}{8} \) or about 0.125.

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 rolling a six-sided number cube (die), the probability of getting a '+' (considering '+' as a specific outcome like rolling a 6) on any single roll is \( \frac{1}{6} \). Therefore, the probability of rolling three '+'s in a row is \( P(all + 's) = \left(\frac{1}{6}\right)^3 = \frac{1}{216} \). For the second scenario, the probability of rolling an odd number (1, 3, or 5) is \( \frac{3}{6} = \frac{1}{2} \) and the probability of rolling an even number (2, 4, or 6) is also \( \frac{3}{6} = \frac{1}{2} \). Thus, the probability of rolling odd, then odd, then even is \( P(odd, odd, even) = \left(\frac{1}{2}\right)^2 \times \left(\frac{1}{2}\right) = \frac{1}{8} \).

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