Maths-
General
Easy
Question
In a random sample of 200 cars of a particular model, 3 have a manufacturing defect. At this rate, how many of 10,000 cars of the same model will have a manufacturing defect?
- 150
- 200
- 250
- 300
Hint:
To solve this problem, we use the classical definition of probability, which is a simple form of probability that has equal odds of something happening.
The probability of a simple event happening is the number of times the event can happen, divided by the number of possible events. The formula is 
.
P(A) means “probability of event A” (event A is whatever event you are looking for, like winning the lottery).
is the frequency, or number of possible times the event could happen. N is the number of times the event could happen.
The correct answer is: 150
Step 1 of 2:
In a random sample of 200 cars of a particular model, 3 have a manufacturing defect.
Then, the probability of being a car defective is 
(by the classical definition of probability).
Step 2 of 2:
Now, at this rate (i.e., with this probability), from 10000 cars of the same model, the number of cars having manufacturing defect will be 
.
Final Answer:
The right option is— A) 150.
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