Problem

A package contains 11 resistors, 4 of which are defective. If 4 are selected, find the probability of getting the following results. Enter your answers as fractions or as decimals rounded to 3 decimal places. Part: 0 / 3 Part 1 of 3 (a) 0 defective resistors $P(0$ defective $)=$

Solution

Step 1 :The problem is asking for the probability of selecting 0 defective resistors out of 4 selected from a package of 11 resistors, 4 of which are defective. This is a problem of combinations.

Step 2 :We need to find the total number of ways to select 4 resistors out of 11, which is 330.

Step 3 :We also need to find the number of ways to select 4 good resistors out of the 7 good ones, which is 35.

Step 4 :The probability will then be the ratio of these two numbers, which is approximately 0.10606060606060606.

Step 5 :Final Answer: The probability of selecting 0 defective resistors is \(\boxed{0.106}\).

From Solvely APP
Source: https://solvelyapp.com/problems/dJHRHy8Shc/

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