Let X = (Y,Z) be the fair dice roll with E(Y) = {1,...,6} with PY (y) = 1/6, and Z being an independent fair coin toss with E(Z) = {0,1} and PZ(z) = 1/2.   What is the probability of the event that z + y = 2? What is PZ|Y (1|6)?

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
Question

Let X = (Y,Z) be the fair dice roll with E(Y) = {1,...,6} with PY (y) = 1/6, and Z being an independent fair coin toss with E(Z) = {0,1} and PZ(z) = 1/2.

 

What is the probability of the event that z + y = 2?



What is PZ|Y (1|6)?

Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

Hi sorry for the first part I don't get it I was expecting the result to be 2 but you show 1/6. Which looks like to be incorrect. I was expecting something like that

⅙+⅙+⅙ = 3/6

½+½+½= 3/2

Solution
Bartleby Expert
SEE SOLUTION
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