A specially made pair of dice has only one- and two-spots on the faces. One of the dice has three faces with a one-spot and three faces with a two-spot. The other die has two faces with a one-spot and four faces with a two-spot. One of the dice is selected at random and then rolled six times. If a two-spot shows up four times, what is the probability that it is the die with the four two-spots? The probability that it is the die with the four two-spots is (Simplify your answer. Do not round until the final answer. Then round to four decimal places as needed.)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
icon
Concept explainers
Question
100%
A specially made pair of dice has only one- and two-spots on the faces. One of the dice has
three faces with a one-spot and three faces with a two-spot. The other die has two faces with a
one-spot and four faces with a two-spot. One of the dice is selected at random and then rolled
six times. If a two-spot shows up four times, what is the probability that it is the die with the
four two-spots?
The probability that it is the die with the four two-spots is
(Simplify your answer. Do not round until the final answer. Then round to four decimal places as
needed.)
Transcribed Image Text:A specially made pair of dice has only one- and two-spots on the faces. One of the dice has three faces with a one-spot and three faces with a two-spot. The other die has two faces with a one-spot and four faces with a two-spot. One of the dice is selected at random and then rolled six times. If a two-spot shows up four times, what is the probability that it is the die with the four two-spots? The probability that it is the die with the four two-spots is (Simplify your answer. Do not round until the final answer. Then round to four decimal places as needed.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Conditional Probability, Decision Trees, and Bayes' Theorem
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON