What is the event " getting numbers, whose sum is more then 6 " for the experiment of rolling a die twice?
A) E = { (1, 1),(1, 2), (1, 3), (1, 4), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (4, 1) }
B) E = { (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6) }
C) E = { (1, 6), (2, 5), (2, 6), (3, 4), (3, 5), (3, 6), (4, 3), (4, 4), (4, 5), (4, 6), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6) }
D) An event cannot happen

Question

What is the event " getting numbers, whose sum is more then 6 " for the experiment of rolling a die twice?
A) E = { (1, 1),(1, 2), (1, 3), (1, 4), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (4, 1) }
B) E = { (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6) }
C) E = { (1, 6), (2, 5), (2, 6), (3, 4), (3, 5), (3, 6), (4, 3), (4, 4), (4, 5), (4, 6), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6) }
D) An event cannot happen

Quizplus · Accepted Answer

We need to find numbers whose sum is greater than 6. So we can choose 2nd dice as 6 because it has the maximum value. Then we look at all the possible outcomes of rolling the first dice which will make the sum greater than 6. These outcomes are (1,6), (2,5), (2,6), (3,4), (3,5), (3,6), (4,3), (4,4), (4,5), (4,6), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6). These outcomes are listed in Choice C.

What Is the Event " Getting Numbers, Whose Sum Is More Then 6 " for the Experiment