a number cube, labeled 1 - 6, is rolled three times. the results of the rolls are recorded as odd or even…

a number cube, labeled 1 - 6, is rolled three times. the results of the rolls are recorded as odd or even. for example, rolling a 3, then a 4, and then a 4 again would be recorded as oee. rolling a 2, then a 5, and then a 6 would be recorded as eoe. what is the complement of the event in which exactly two even rolls are recorded?\na. ooo or eee\nb. oeo or ooe or eoo\nc. oee or eeo or eoe\nd. ooo or eee or oeo or ooe or eoo\ne. oee or eeo or eoe or ooo or eee

a number cube, labeled 1 - 6, is rolled three times. the results of the rolls are recorded as odd or even. for example, rolling a 3, then a 4, and then a 4 again would be recorded as oee. rolling a 2, then a 5, and then a 6 would be recorded as eoe. what is the complement of the event in which exactly two even rolls are recorded?\na. ooo or eee\nb. oeo or ooe or eoo\nc. oee or eeo or eoe\nd. ooo or eee or oeo or ooe or eoo\ne. oee or eeo or eoe or ooo or eee

Answer

Explanation:

Step1: Understand event and complement

The event is exactly two even - rolls. Complement is all other possible outcomes.

Step2: List all possible number of even - rolls

There are three rolls. The number of even - rolls can be 0, 1, 2, or 3. The event is 2 even - rolls, so the complement is 0, 1, or 3 even - rolls.

Step3: Identify outcomes for complement

0 even - rolls means OOO. 1 even - roll means OEO, OOE, EOO. 3 even - rolls means EEE.

Answer:

D. OOO or EEE or OEO or OOE or EOO