I have a robot and you have a robot and they are going to race each other. The probability that my robot is going to win 0.2 (i.e a 20% chance). We know this because that is how we programmed them. We are going to race them five times.

1. What is the probability that my robot wins all the races?

2. What is the probability that my robot wins none of the races?

3. What is the probability that my robot wins some but not ll of the races?

4. What is the probability that my robot wins most of the races?

There's more:

5. If in addition to the above, there is also a probability (indepndent) that each of our robot's battery will fail before the finish is 0.1 (10%)

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