Question

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

Answer 1

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 an Event is defined as all the outcomes that are NOT the event.
• So the Complement of an event is all the other outcomes (not the ones we want).

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.

Answer 2

Answer:

Sample Response: 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: