To solve the problem:

The probability of failure after 1000 hours is given as $P(\text{Failure}) = 0.06$. The probability that the machine is still working is the complement of the probability of failure:

$P(\text{Working}) = 1 - P(\text{Failure})$

Substituting the given value:

$P(\text{Working}) = 1 - 0.06 = 0.94$

Answer: The probability that the washing machine will still be working after 1000 hours of use is 0.94.

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Related Questions:

1. What is the complement rule in probability and how is it used?
2. If 100 washing machines are tested, how many would you expect to still work after 1000 hours?
3. How would the probability change if $P(\text{Failure})$ was reduced to 0.03?
4. What does the term "complement" mean in probability theory?
5. Can this probability be expressed as a percentage, and what would it be?

Tip:

In probability, the complement rule is very useful for solving problems where the "failure" and "success" probabilities are linked!