Question

A carton consists of 100 shirts of which 88 are good, 8 have minor defects and 4 have major defects. Jimmy, a trader accepts shirts only which are good. But, Sujatha, another trader will reject shirts which have only major defects. One shirt is drawn randomly. Find the probability that the shirt selected is (i) Acceptable to Jimmy (ii) Acceptable to Sujatha

• A. 0.88, 0.96
• B. 0.04, 0.96
• C. 0.12, 0.04
• D. 0.96, 0.04

Answer 1

The correct option is A

0.88, 0.96

Let E be the event of selecting a shirt acceptable to jimmy

Favourable outcomes for jimmy is 88

P(E) = $\frac{\text{(Number of outcomes favourable to E)}}{\text{(Total number of outcomes)}}$
= $\frac{88}{100}$
= 0.88

Let F be the event of selecting a shirt acceptable to Sujatha

Favourable outcomes for Sujatha = 88 + 8 = 96

P(F) = $\frac{\text{(Number of outcomes favourable to F)}}{\text{(Total number of outcomes)}}$
= $\frac{96}{100}$
= 0.96