# Jason has a cube with colored sides: red, orange, yellow, green, blue, and purple. Name all (if any) applicable terms for the events described. Rolling red or a primary color. (The primary...

Jason has a cube with colored sides: red, orange, yellow, green, blue, and purple.

Name all (if any) applicable terms for the events described.

Rolling red or a primary color. (The primary colors are: red, yellow and blue)

terms: (overlapping event) (compound event) (mutually exclusive event) (permutation)

Rolling orange or a primary color.

terms: (overlapping event) (compound event) (mutually exclusive event) (permutation)

Rolling the cube twice, Jason rolls yellow and then green.

terms: (overlapping event) (compound event) (mutually exclusive event) (permutation)

Thank you for your help:)

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### 1 Answer

Jason has a cube with colored sides: red, orange, yellow, green, blue, and purple.

Two events associated with a random probability experiment are said to be mutually exclusive if both cannot occur together in the same trial.

In the experiment of throwing a coloured die performed by Jason, the events A = {R} and C = {R,Y,B}are not mutually exclusive, because if Red appears in the die, then it is favourable to both events A and C. They are called overlapping events as they have one outcome (Red) in common.

On the other hand, the events D={O} and C = {R,Y,B} are mutually exclusive, because the happening of event D rules out the happening of all events of C.

Compound event: When two or more events occur in connection with each other, the joint occurrence is called the compound event. Rolling the cube twice, Jason rolls yellow and then green – this is a perfect example of a compound event.

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