Vhat is the probability that there is a "2" showing, given you've rolled "double primes?"
Vhat is the probability that there is a "2" showing, given you've rolled "double primes?"
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...
Related questions
Question
Transcribed Image Text:Show Tht
Two indistinguishable dice are rolled; both numbers rolled are prime.
Which of the following rolls might have occurred?
O(1,1)
O (2,3)
O (3,6)
O(1,2)
O(2,4)
O (4,4)
O(1,3)
O(2,5)
O (4,5)
O(1,4)
O(2,6)
O(4,6)
O(1,5)
O(3,3)
O(5,5)
O(1,6)
O(3,4)
O(5,6)
O (2,2)
O (3,5)
O (6,6)
What is the probability that there is a "2" showing, given you've rolled "double primes?"
Preview
Expert Solution
Step 1
HERE GIVEN,
two distinguishable dice are rolled
and both number are rolled as prime
here there are total 6*6 = 36 outcomes when rolled 2 dice
here probability of each number on die = 1/6
rolling two die is independent event that is outcome on first die not depend on outcome on second die
so here we can directly do multiplication for probability
that is for example p(2,2) = (1/6)*(1/6) = 1/36
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON