Suppose that the probability that the control system used in a spaceship will malfunction on a given flight is 0.001. Suppose further that a duplicate, but completely independent, control system is also installed in the spaceship to take control in case the first system malfunctions. Determine the probability that the spaceship will be under the control of either the original system or the duplicate system on a given flight.

Lecture 9/25/2017 → Chapter 3: Probability ← SECTION 3.1 Probability: A number between 0 and 1 representing how likely it is that an event will occur. Random Experiment: An experiment whose outcome is not known until it is observed. Sample Space (S): a set of outcomes of a random experiment. Every possible outcome must be listed once and only once. Sample Point: An element of the sample space. Event: A subset of the sample space. That is, any collection of outcomes forms an event. EVENTS, like sets, are represented using capital letters: A, B, etc. Experiment: Toss a coin twice and observe the result. o Sample Space: S = {HH, HT, TH, TT} o An example of a sample point is: HT. o Let A be the event that there is exactl