a) find the probability of event A (b) find the probability of event B  (c) find the probability of event A n C

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
icon
Concept explainers
Question

please help me by solving parts a, b and c. i am stressed and not sure why i am not comprehending. PLEASE HELP me and I will rate you!

(a) find the probability of event A

(b) find the probability of event B 

(c) find the probability of event A n C (sorry i cant make the symbol to go between A and C)

An experiment involves tossing a pair of dice, one green and one red, and recording the numbers that come up. If x equals the outcome on the green die and y the outcome on the red die, the sample space S consists of all the possible ordered pairs (x,y). Event A is the
event that the sum is greater than 5. Event B is the event that a 4 occurs on either die. Event C is the event that a number greater than
below.
comes up on the green die. Assume that all elements of the sample space are equally likely to occur. Complete parts (a) through (c)
E Click the icon to view the sample space
(a) Find the probability of event A.
P(A) =D Type an integer or a simplified fraction.)
- X
Sample Space
(1,1)
(1,2)
(1,3)
(1,4)
(1,5)
(1,6)
(2,1)
(2,2)
(2,3)
(2,4)
(2,5)
(2,6)
(3,1)
(3,2)
(3,3)
(3,4)
(3,5)
(3,6)
(4,1)
(4,2)
(4,3)
(4,4)
(4,5)
(4,6)
(5,1)
(5,2)
(5,3)
(5,4)
(5,5)
(5,6)
(6,1)
(6,2)
(6,3)
(6,4)
(6,5)
(6,6)
Print
Done
Transcribed Image Text:An experiment involves tossing a pair of dice, one green and one red, and recording the numbers that come up. If x equals the outcome on the green die and y the outcome on the red die, the sample space S consists of all the possible ordered pairs (x,y). Event A is the event that the sum is greater than 5. Event B is the event that a 4 occurs on either die. Event C is the event that a number greater than below. comes up on the green die. Assume that all elements of the sample space are equally likely to occur. Complete parts (a) through (c) E Click the icon to view the sample space (a) Find the probability of event A. P(A) =D Type an integer or a simplified fraction.) - X Sample Space (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) (2,1) (2,2) (2,3) (2,4) (2,5) (2,6) (3,1) (3,2) (3,3) (3,4) (3,5) (3,6) (4,1) (4,2) (4,3) (4,4) (4,5) (4,6) (5,1) (5,2) (5,3) (5,4) (5,5) (5,6) (6,1) (6,2) (6,3) (6,4) (6,5) (6,6) Print Done
Expert Solution
Step 1

It is given that there is a pair of dice. One is in green color and one is in red color.

The random variable x denotes that the outcome on the green die and the random variable y denotes that the outcome on the red die.

The event A represents the sum is greater than 5, the event B represents a 4 occurs on either die and the event C represents the number greater than 3 comes up on the green die.

steps

Step by step

Solved in 4 steps with 3 images

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, statistics and related others by exploring similar questions and additional content below.
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