1. Refer to Exercise 23. What is the probability that there will be an accidental nuclear war during the next n years?
Refer to Exercise 23,
Suppose that, during any year, the probability of an accidental nuclear war is .0001 (provided, of course, that there hasn't been one in a previous year). Draw a tree diagram representing the possibilities for the next three years. What is the probability that there will be an accidental nuclear war during the next three years?
2. A coin is to be tossed at most five times. The tosser wins as soon as the number of heads exceeds the number of tails and loses as soon as three tails have been tossed. Use a tree diagram for this game to calculate the probability of winning?