Example 12

A carton consists of 100 shirts of which 88 are good, 8 have minor defects and 4 have major defects. Jimmy, a trader, will only accept the shirts which are good, but Sujatha, another trader, will only reject the shirts which have major defects. One shirt is drawn at random from the carton. What is the probability that

  • it is acceptable to Jimmy?
  • it is acceptable to Sujatha?

Given:

  • Total shirts = 100
  • Good shirts = 88
  • Minor defects = 8
  • Major defects = 4

ย (i) Jimmy accepts only good shirts.

So, probability = 88/100 = 0.88

(ii) Sujatha accepts all shirts except those with major defects.

So, acceptable shirts = 88 (good) + 8 (minor defects) = 96
Probability = 96/100 = 0.96

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