# Three robots

In a workshop, three robots, Q, R, and S, are employed to make chairs

Robot Q makes 25% of the chairs

Robot R makes 45% of the chairs

The remaining chairs are made by Robot S

Evidence has shown that 2 percent of the chairs made by robot Q are defective, 3 percent of the chairs made by robot R, and 5 percent of the chairs made by robot S are defective. Construct a tree diagram that illustrates all possible outcomes and probabilities. A chair is randomly selected.

What is the probability that the chair that robot Q made is defective?

What is the probability of findings a broken chair?

Given that a chair is defective, what is the probability that it was not made by robot R?

Robot Q makes 25% of the chairs

Robot R makes 45% of the chairs

The remaining chairs are made by Robot S

Evidence has shown that 2 percent of the chairs made by robot Q are defective, 3 percent of the chairs made by robot R, and 5 percent of the chairs made by robot S are defective. Construct a tree diagram that illustrates all possible outcomes and probabilities. A chair is randomly selected.

What is the probability that the chair that robot Q made is defective?

What is the probability of findings a broken chair?

Given that a chair is defective, what is the probability that it was not made by robot R?

## Correct answer:

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