Question

Two fair dice are rolled once. Find the probability that their sum is 8

Answer #1

When the two dice are thrown ,

(1 ,1) , (1,2)......(1,6),

(2,1) , (2, 2) ....(2,6),

(3,1) , (3,2) ......(3,6)

................................

...............................

(6,1) , (6,2) ........(6,6)

Total = 36

So a total of 8 can occur in follwing pairs:

(2 ,6) , (3,5) ,(4,4) , (5 , 3) ,(6, 2)

So there are 5 pairs of occurence of dice showing up faces when the serial number on the faces adds up 8, as against 36 possible pairs of numbers showing up.

So the probability of the event of showing the sum of the
numbers on the face equal to 8 is **5/36 = 0.1388 =
0.14**

*****please ask if you have any doubts.Happy to help
you.Thank you.Please Like.**

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a. Find the probability that the sum is 4. b. Find the
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c. Find the probability that the sum is at most 4.

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(b) Find the conditional probability the sum is eight, given
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(c) Find the probability at least one die lands on six.
(d) Find the conditional probability at least one die lands on
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A pair of dice is rolled once. find the probability of obtaining
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