A certain operation has a fatality rate of 10%. If it is performed independently on three different patients, what is the probability that all three operations will be fatal?

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Question 10:
The problem states: "A certain operation has a fatality rate of 10%. If it is performed independently on three different patients, what is the probability that all three operations will be fatal?"

Let $p$ be the probability of a fatal operation, so $p = 0.10$.
Let $q$ be the probability of a non-fatal operation, so $q = 1 - p = 0.90$.
The operations are independent.

The probability that all three operations will be fatal is $P(\text{fatal and fatal and fatal})$.

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