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?

Answer: A. 0.2This 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) =…

  1. A.

    0.2

  2. B.

    0.4

  3. C.

    0.6

  4. D.

    0.8

Attempted by 39 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)

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