5. A certain model of laptop computer has hardware failures of three different types: hard drive failure, battery failure, and other hardware failure. It was found that: 54% 43% 30% 18% 10% 1% of failures did not involve the battery at all of failures did not involve the hard drive at all of failures were of only the battery of failures involved a failure of hardware other than a battery or hard drive of failures involved neither the battery nor the hard drive of failures involved all three categories (a) Give the outcome space assuming that 1, 2 or 3 different hardware failures are possible. (b) Use the given information to find the probability of each of the outcomes in the outcome space you found in part (a).