Geometry

Question Analysis
This question involves calculating the joint probability of three independent events related to the quality tests of an electronic component.
The main focus is on using the multiplication rule for independent events to find the probability that a component passes all three tests by multiplying their individual passing probabilities.

Key Concept Explanation
The results of the functionality, durability, and safety tests are independent events, meaning the outcome of one test does not affect the others.
For multiple independent events , , and , the probability of all of them occurring is .
Here, , , and are the probabilities of passing each respective test.

Step-by-Step Solution
Identify the individual probabilities:
The probability of passing the functionality test,

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