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5 Charlotte rolls two standard number cubes. The sum of the two numbers shown the cubes is greater than or equal to 9. Which event is complementary to rolling sum greater than or equal to 9 ?
A rolling a sum of 8
B rolling a sum less than 8
C rolling a sum less than 9
D rolling a sum less than 10?

$5$ Charlotte rolls two standard number cubes. The sum of the two numbers shown the cubes is greater than or equal to $9$ . Which event is complementary to rolling sum greater than or equal to $9$ ? $\newline$ A rolling a sum of $8$ $\newline$ B rolling a sum less than $8$ $\newline$ C rolling a sum less than $9$ $\newline$ D rolling a sum less than $10$ ?

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Identify independent events

Full solution

Q.

5

Charlotte rolls two standard number cubes. The sum of the two numbers shown the cubes is greater than or equal to

9

. Which event is complementary to rolling sum greater than or equal to

9

?

\newline

A rolling a sum of

8

\newline

B rolling a sum less than

8

\newline

C rolling a sum less than

9

\newline

D rolling a sum less than

10

?

Define Complementary Event: The complementary event is the one that does not include rolling a sum greater than or equal to $9$ . It includes all other possible outcomes.
Possible Dice Sum Range: When rolling two dice, the highest possible sum is $12$ ( $6+6$ ) and the lowest is $2$ ( $1+1$ ).
Identify Sums Greater Than $9$ : The sums greater than or equal to $9$ are $9$ , $10$ , $11$ , and $12$ .
Determine Complementary Event: The complementary event includes all sums that are not $9$ , $10$ , $11$ , or $12$ . So, it includes sums less than $9$ .
Final Complementary Event: Looking at the choices, the complementary event to rolling a sum greater than or equal to $9$ is rolling a sum less than $9$ .

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