A fair die has six sides, with a number 1,2,3,4,5 or 6 on each of its sides. In a game of dice, the following probabilities are given:  The probability of rolling two dice and both showing a 1 is 136; The probability of rolling the first die and it showing a 1 is 16; If you roll one die after another, the probability of rolling a 1 on the second die given that you've already rolled a 1 on the first die is 16. Let event A be the rolling a 1 on the first die and B be rolling a 1 on the second die. Are events A and B mutually exclusive, independent, neither, or both?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
100%

A fair die has six sides, with a number 1,2,3,4,5 or 6 on each of its sides. In a game of dice, the following probabilities are given: 

  • The probability of rolling two dice and both showing a 1 is 136;
  • The probability of rolling the first die and it showing a 1 is 16;
  • If you roll one die after another, the probability of rolling a 1 on the second die given that you've already rolled a 1 on the first die is 16.

Let event A be the rolling a 1 on the first die and B be rolling a 1 on the second die. Are events A and B mutually exclusive, independent, neither, or both? 

 

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman