1.

A carton consists of 100 shirts of which 99 are good and 8 have minor defects. Rohit, a trader, will only accept the shirts which are good. but, kamal, and another traders will only reject the shirts which have major defects . 1 shirts is drawn at random from the cartoon. What is the probability that it is acceptable to (i) Rohit,(ii) Kamal 

Answer»

Total numbers of shirts = 100

The number of good shirts = 88.

The number of shirts with major defects = 100 - 88 = 4.

(i) P(the drawn shirts is acceptable to Rohit) = \(\frac{number\, of \,favorable\,outcomes}{number\,of \,all\,possible\,outcomes}\)\(\frac{88}{100}\) = \(\frac{22}{25}\)

Thus, the probability that the drawn shirts is acceptable to Rohit is \(\frac{22}{25}\).

(ii) P(the drawn shirts is acceptable to Komal) = \(\frac{number\, of \,favorable\,outcomes}{number\,of \,all\,possible\,outcomes}\)\(\frac{88+8}{100}\)\(\frac{96}{100}\)\(\frac{24}{25}\)

Thus, the probability that the drawn shirts is acceptable to Kamal is \(\frac{24}{25}\).



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