There is a loaded 4-sided dice i.e. the dice has 4 numbers on it and they don’t have equal probability of landing face up unlike a fair dice. 1 out of 4 times number 1 lands face up, 2 out of 4 times number 2 lands face up, 3 out of 16 times number 3 lands face up and with remaining probability number 4 lands face up. (Hint: You should not solve it the way I had solved a similar homework question for a fair dice because the probabilities of the numbers landing face up are different here.) a) If you roll two such dice simultaneously. What is the probability of

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
icon
Related questions
Topic Video
Question

There is a loaded 4-sided dice i.e. the dice has 4 numbers on it and they don’t have equal probability of landing face up unlike a fair dice. 1 out of 4 times number 1 lands face up, 2 out of 4 times number 2 lands face up, 3 out of 16 times number 3 lands face up and with remaining probability number 4 lands face up. (Hint: You should not solve it the way I had solved a similar homework question for a fair dice because the probabilities of the numbers landing face up are different here.)

a) If you roll two such dice simultaneously. What is the probability of getting the sum of the two rolls as at most 3?

b) What is the expected value of the number that lands face up?

c) I want to rework the dice now by changing the probability of number 3 landing face up. Keeping the probabilities of numbers 1, 2 the same as those given in the question, what should I choose as the probability of number 3 landing face up so that the expected value of the number that lands face up is 2?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Knowledge Booster
Discrete Probability Distributions
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.
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning