NCERT Class X Chapter 14: Probability Exercise 14.1 Question (16)

NCERT Class X Chapter 14: Probability Exercise 14.1 Question 16

Question:

12 defective pens are accidentally mixed with 132 good ones. It is not possible to just look at a pen and tell whether or not it is defective. One pen is taken out at random from this lot. Determine the probability that the pen taken out is a good one.

Given:

Number of defective pens = 12
Number of good pens = 132
Total number of pens = 12 + 132 = 144

To Find:

Probability of selecting a good pen

Formula:

Probability = Number of favorable outcomes Total number of possible outcomes

Solution:

Number of good pens = 132

Total number of pens = 144

Probability of selecting a good pen = 132 144

Simplifying the fraction by dividing both numerator and denominator by 12:

132 ÷ 12 144 ÷ 12 ⇒ 11 12

Result:

The probability that the pen taken out is a good one is 11 12 .

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