A shipment of 10 printers contains 2 that are defective. Find the probability that a sample of size 2 , drawn from the 10 , will not contain a defective printer.
The probability is
(Type an integer or a simplified fraction.)
Final Answer: The probability that a sample of size 2, drawn from the 10, will not contain a defective printer is \(\boxed{0.622}\).
Step 1 :This problem is about combinations. We need to find the total number of ways to select 2 printers out of 10, and the number of ways to select 2 printers that are not defective (i.e., out of the 8 non-defective printers). The probability will be the ratio of these two numbers.
Step 2 :The total number of ways to select 2 printers out of 10 is 45.
Step 3 :The number of ways to select 2 printers that are not defective (i.e., out of the 8 non-defective printers) is 28.
Step 4 :The probability is the ratio of these two numbers, which is approximately 0.6222222222222222.
Step 5 :Using python code to simplify the final answer, we get approximately 0.622.
Step 6 :Final Answer: The probability that a sample of size 2, drawn from the 10, will not contain a defective printer is \(\boxed{0.622}\).