Let E be the event where the sun of two rolled dice is less than or equal to 4

Question

asked Jun 2, 2023 128k views

1 Answer

Fawad · Answer 1 · 2023-06-05T22:16:08+0000

If event E is defined as the event that "the sum of two rolled dice is less than or equal to 4."

Then the complement to E will represent all remaining outcomes, that is that "the sum of two rolled dice is greater than 4"

If the die is numbered from 1 to 6, the possible combinations are:

Add all combinations whose sums are greater than 4, without repeating combinations:

$E^c=\mleft\lbrace(1,4);(1,5);(1,6);(2,3);(2,4);(2,5);(2,6);(3,3);(3,4);(3,5);(3,6);(4,4);(4,5);(4,6);(5,5);(5,6);(6,6)\mright\rbrace$