Answer to Question #35669 in Statistics and Probability for Taimoor

Question

question : Suppose that three missiles are available to fire at three targets, called Target 1, Target 2, and Target 3.Each time a missile is fired at Target 1 it will hit it with probability 0.9. Each time a missile is fired at Target 2 it will hit it with probability 0.8. Each time a missile is fired at Target 3 it will hit it with probability 0.7. Missiles will be fired, one at a time, at Target 1 until it is hit. If Target 1 is hit, any remaining missiles will be fired at Target 2 until it is hit, and if Target 2 is hit before the last of the three missiles is fired, the last missile will be fired at Target 3. Letting H1 be the event that the first missile fired hits a target, and H2 be the event that the second missile fired hits a target, explain why H1 and H2 are not independent events.