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

Let E Be The Event Where The Sun Of Two Rolled Dice Is Less Than Or Equal To 4 class=

Sagot :

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:

[tex]NºoutcomesE^c=3+4+4+3+2+1=17[/tex][tex]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[/tex]

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