Multiple choice

A bag consists of 100 shirts of which 88 are good, 8 have minor defects and 4 have major defects. A trader A will accept only the shirt which are good, but the trader B will not accept the shirts which have major defects. One shirt is drawn at random. What is the probability that it is acceptable by (i) A (ii) B ?

  1. (i) $\dfrac{21}{25}$    (ii) $\dfrac{23}{25}$ 
  2. (i) $\dfrac{22}{25}$    (ii) $\dfrac{24}{25}$ 
  3. (i) $\dfrac{11}{25}$    (ii) $\dfrac{13}{25}$ 

  4. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total shirts = 100. Good = 88, Minor = 8, Major = 4. Trader A accepts only good (88/100 = 22/25). Trader B accepts all except major (100 - 4 = 96/100 = 24/25).

AI explanation

For trader A, who accepts only the 88 good shirts from the total 100, the probability of accepting a randomly drawn shirt is 88/100, which simplifies to 22/25. For trader B, who rejects only the 4 shirts with major defects, the number of acceptable shirts is 100 minus 4, equaling 96. The probability of trader B accepting a randomly drawn shirt is therefore 96/100, which simplifies to 24/25. The resulting probabilities are 22/25 and 24/25.

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