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A and B are involved in a duel. The rules of the duel are
Chapter 3, Problem 63P(choose chapter or problem)
Problem 63P
A and B are involved in a duel. The rules of the duel are that they are to pick up their guns and shoot each other simultaneously. If one or both are hit, then the duel is over. If both shots miss, then they repeat the process. Suppose that the results of the shots are independent and that each shot of A will hit B with probability pA and each shot of B will hit A with probability pB . What is
The probability that A is not hit?The probability that both duelist are hit?The probability that the duel ends after the nth round of shots?The conditional probability of the duel ends after the nth of shots given that A is not hit?The conditional probability of the duel ends after the nth of shots given that both duelist are hit?
Questions & Answers
QUESTION:
Problem 63P
A and B are involved in a duel. The rules of the duel are that they are to pick up their guns and shoot each other simultaneously. If one or both are hit, then the duel is over. If both shots miss, then they repeat the process. Suppose that the results of the shots are independent and that each shot of A will hit B with probability pA and each shot of B will hit A with probability pB . What is
The probability that A is not hit?The probability that both duelist are hit?The probability that the duel ends after the nth round of shots?The conditional probability of the duel ends after the nth of shots given that A is not hit?The conditional probability of the duel ends after the nth of shots given that both duelist are hit?ANSWER:
Step 1 of 6
Given that,
A is hit and B is not hit, with probability
A is not hit and B is hit, with probability
A is hit and B is hit, with probability
A is not hit and B is not hit, with probability