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Mathematics · Probability · NCERT Examples

Example 12

A complete, independently verified solution for NCERT Example 12.

Mathematics · Chapter 14 · NCERT Examples

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NCERT Example

Example 12

shirts · defects · acceptance

A carton has 100 shirts: 88 good, 8 with minor defects and 4 with major defects. Jimmy accepts only good shirts; Sujatha rejects only shirts with major defects. One shirt is drawn at random. Find the probability that it is acceptable to (i) Jimmy and (ii) Sujatha.

Solution

Board-exam working:

Total shirts=100\text{Total shirts}=100

(i) Jimmy accepts only the 88 good shirts.

P(acceptable to Jimmy)=88100=0.88P(\text{acceptable to Jimmy})=\frac{88}{100}=0.88

(ii) Sujatha accepts good shirts and shirts with minor defects.

88+8=9688+8=96
P(acceptable to Sujatha)=96100=0.96P(\text{acceptable to Sujatha})=\frac{96}{100}=0.96

Final answer

(i) 0.88(ii) 0.96\boxed{\text{(i) }0.88\qquad\text{(ii) }0.96}