NCERT Class X Chapter 14: Probability Exercise 14.1 Question (21)

NCERT Class X Chapter 14: Probability Exercise 14.1 Question 21

Question:

A lot consists of 144 ball pens of which 20 are defective and the others are good. Nuri will buy a pen if it is good, but will not buy if it is defective. The shopkeeper draws one pen at random and gives it to her. What is the probability that
(i) She will buy it ?
(ii) She will not buy it ?

Given:

Total number of ball pens = 144
Number of defective pens = 20
Number of good pens = 144 - 20 = 124

To Find:

(i) Probability that Nuri will buy the pen
(ii) Probability that Nuri will not buy the pen

Formula:

Probability = Number of favorable outcomes Total number of outcomes

Solution:

(i) Probability that Nuri will buy the pen (i.e., the pen is good)

⇒ Probability = 124 144 = 31 36

(ii) Probability that Nuri will not buy the pen (i.e., the pen is defective)

⇒ Probability = 20 144 = 5 36

Result:

(i) The probability that she will buy the pen is 31 36
(ii) The probability that she will not buy the pen is 5 36

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