20 percent of the pens produced in a factory are of red colour and 4 percent…
2021
20 percent of the pens produced in a factory are of red colour and 4 percent are red and defective. If one pen is picked up at random, what is the probability of its being defective if it is red?
- A.
0.2
- B.
0.4
- C.
0.6
- D.
0.8
Attempted by 11 students.
Show answer & explanation
Correct answer: A
This problem requires calculating conditional probability, where the condition is that the pen is red.
Given: P(Red) = 20% = 0.2, and P(Red and Defective) = 4% = 0.04.
The formula for conditional probability is P(Defective | Red) = P(Red and Defective) / P(Red).
Calculation: 0.04 / 0.2 = 0.2.
Final Answer: Option 1 (0.2)