Does choosing a blue marble represent the complement event of choosing a red marble? Explain.

2 blue marbles, 1 red marble, and 2 purple marbles.

Choosing a blue marble does not represent the complement event of choosing a red marble.

Therefore, since 2/5 is not equal to 4/5, they do not complement.

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choosing a blue marble does not represent the complement event of choosing a red marble because 2/5 ≠ 4/5.

Step-by-step explanation:

There are 2 blue marbles, 1 red marble, and 2 purple marbles.

The total number of marbles ⇒ 2 blue + 1 red + 2 purple = 5 marbles.

To find the probability of choosing a blue marble :

P (blue) = No.of blue marbles / Total marbles

⇒ 2 / 5

To find the complement event of choosing a red marble :

Complement of choosing red ⇒ P (not getting red marble)

P (not getting red marble) = No.of marbles other than red / Total marbles

⇒ 4 / 5

Therefore, P(blue) is not equal to P(not getting a red).

⇒ 2/5 ≠ 4/5

So, choosing a blue marble does not represent the complement event of choosing a red marble.