Consider the following experiment and events. Experiment: A pair of fair distinguishable 6-sided dice is rolled. E is the event of rolling doubles. F is the event of rolling a sum of 9 or more. Give the following probability as a fraction in lowest terms. P(E U F) = %3D

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
Consider the following experiment and events.
Experiment: A pair of fair distinguishable 6-sided dice is rolled.
E is the event of rolling doubles.
F is the event of rolling a sum of 9 or more.
Give the following probability as a fraction in lowest terms.
P(E U F) =
Next
Save
Transcribed Image Text:Consider the following experiment and events. Experiment: A pair of fair distinguishable 6-sided dice is rolled. E is the event of rolling doubles. F is the event of rolling a sum of 9 or more. Give the following probability as a fraction in lowest terms. P(E U F) = Next Save
Expert Solution
Step 1

The possible outcomes of E are given by;

E = {(1,1), (2,2), (3,3), (4,4), (5,5), (6,6)}

The possible outcomes of F are given by;

F = {(3,6), (4,5), (5,4), (6,3), (4,6), (5,5), (6,4), (5,6), (6,5), (6,6)}

and;

EF={(5,5), (6,6)}

Hence; n(E)=6, n(F)=10 and n(EF)=2

Therefore;

P(E)=n(E)Total possible outcomes=636=16

P(F)=n(F)Total possible outcomes=1036=518

and;

P(EF)=n(EF)Total possible outcomes=236=118

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Continuous Probability Distribution
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
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