Question

A box consists of 100 shirts of which 88 are good, 8 have minor defects and 4 have major defects. Ramesh, a shopkeeper will buy only those shirts which are good but 'Kewal' another shopkeeper will not buy shirts with major defects. A shirt is taken out of the box at random. What is the probability that

(i) Ramesh will buy the selected shirt?

(ii) 'Kewal' will buy the selected shirt?

Answer 1

Total number of shirts = 100

Number of good shirts = 88

Number of shirts with minor defects = 8

Number of shirts with major defects = 4

(i) It is given that Ramesh will buy only good shirts.

∴ P(Selected shirt is good shirt) = ${\displaystyle \frac{88}{100}=\frac{22}{25}}$

⇒ Probability that Ramesh will buy the selected shirt = ${\displaystyle \frac{22}{25}}$

(ii) It is given that Kewal will not buy shirts with major defects. So, Kewal will buy good shirts and shirts with minor defects.

Total number of good shirts and shirts with minor defects = 88 + 8 = 96

∴ P(Selected shirt is good or shirt with minor defect)= ${\displaystyle \frac{96}{100}=\frac{24}{25}}$

⇒ Probability that Kewal will buy the selected shirt = ${\displaystyle \frac{24}{25}}$