Problem

The probability that an oven will have failed after 1000 hours of use is 0.09 . What is the probability that it will still be working after 1000 hours of use? Give your answer as a decimal.

Solution

Step 1 :The probability that an oven will have failed after 1000 hours of use is 0.09.

Step 2 :The probability of an event happening and the probability of the same event not happening are complementary. This means that they add up to 1.

Step 3 :So, to find the probability that the oven will still be working after 1000 hours of use, we subtract the probability that it will have failed from 1.

Step 4 :\(probability_{failed} = 0.09\)

Step 5 :\(probability_{working} = 1 - probability_{failed} = 1 - 0.09 = 0.91\)

Step 6 :Final Answer: The probability that the oven will still be working after 1000 hours of use is \(\boxed{0.91}\).

From Solvely APP
Source: https://solvelyapp.com/problems/35817/

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