32 21. The probability of selecting a trouser from a lot of 200 trousers is 0.045. Find the number of defective trousers in the lot.
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Answer:
total trousers 200
defective trousers be X
Probability of defective trousers be 0.045
probability = X/200
0.045 = X/200
X = 0.045 × 200
X =9000 ÷ 1000
therefore X = 9
Number of defective trousers
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Given:
A lot of 200 pairs of trousers are given.
The probability of selecting a trouser is 0.045
To Find:
a number of defective trousers in the lot =?
Solution:
As we know,
Probability = No. of favorable events / total no of events
So, In this case
Probability of defective trouser = No of defective trouser / Total no of Trouser
⇒ 0.045 = No of defective trouser / 200
⇒ 0.045 × 200 = No. of defective trousers
⇒ 9 = No. of defective trousers
Hence, the No of defective trousers is 9.
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