Respuesta :

Answer:The complementary event for choosing a red marble is choosing a blue or purple. The total number of marbles is 5. The probability of choosing a red marble is 1/5, and the complement would be 4/5. That is not the same as choosing a blue marble.

Step-by-step explanation:

The choosing a blue marble does not represent the complement event of choosing a red marble because the probability of choosing blue marble(2/5) is not equal to complement probability of the choosing red marble(4/5).

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.

We have:

Two blue marbles, one red marble, and two purple marbles.

Total marble = 2+1+2 ⇒ 5

Probability of choosing red marble = 1/5

Probability of choosing blue marble = 2/5

Complement probability of the choosing red marble = 1 - 1/5 ⇒ 4/5

As we can see, the probability of choosing blue marble is not equal to complement probability of the choosing red marble.

Thus, the choosing a blue marble does not represent the complement event of choosing a red marble because the probability of choosing blue marble(2/5) is not equal to complement probability of the choosing red marble(4/5).

Learn more about the probability here:

brainly.com/question/11234923

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