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.
