SOLUTION: A die is rolled twice. What is the probability of getting either a multiple of 3 on the first roll or a total of 8 for both rolls? I got 2/6+5/36, which is 17/36. But that doesn

Question 1078225: A die is rolled twice. What is the probability of getting either a multiple of 3 on the first roll or a total of 8 for both rolls?
I got 2/6+5/36, which is 17/36. But that doesn't match an available answer.
Found 2 solutions by stanbon, natolino_2017:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A die is rolled twice. What is the probability of getting either a multiple of 3 on the first roll or a total of 8 for both rolls?
-------
P(mult of 3) = [2+4+4+1]/36
P(sum of 8) = 5/36
-------------------------
P(mult of 3 or sum of 8) = (11+5)/36 = 16/36
----------
Cheers,
Stan H.
------------

Answer by natolino_2017(77) (Show Source): You can put this solution on YOUR website!
Total Universe=6^2=36 cases-
First Condition only (First is multiple of 3 and the sum isn't 8) :
(3,1),(3,2),(3,3),(3,4),(3,6),(6,1),(6,3),(6,4),(6,5),(6,6).
Favorable cases= 10.
Second Condition only (First is not a multiple of 3 and the sum is 8) :
(2,6),(4,4),(5,3)
Favorable cases=3.
First and Second condition at the same time:
(3,5),(6,2)
favorable cases=2.
Total favorable cases=10+3+2=15.
So P()= 15/36 =5/12
#natolino

RELATED QUESTIONS
A die is rolled twice. What is the probability of getting either a multiple of 3 on the... (answered by fractalier)
A die is rolled twice. What is the probability of getting either a multiple of 2 on the... (answered by Edwin McCravy)
a single die is rolled twice. what is the probablity of getting a 3 on the first roll and (answered by Nate)
A die is rolled twice. What is the probability of showing a 3 on the first roll and an... (answered by ikleyn)
You roll two dice. What is the probability of getting a 3 or a 6 on the second die, given (answered by edjones)
Suppose a die is rolled twice and comes up 4 on the first roll. What is the probability... (answered by mathmate)
ON A SINGLE ROLL OF A DIE, THE PROBABILITY OF GETTING EITHER AN ODD NUMBER OR A NUMBER... (answered by sudhanshu_kmr)
A coin is flipped twice... 1.What is the probability of getting less than 1 tail?... (answered by Fombitz)
Two dice are thrown once. Find the probability of getting a multiple of 3 on the first... (answered by swincher4391)