Problem

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.)

Solution

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 \(\boxed{0.622}\).

From Solvely APP
Source: https://solvelyapp.com/problems/8876/

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