To help "insure" the success of a mission, you propose several redundant components so that the mission is a success if one or more succeed. Supposing that these separate components act independently of each other and that each component has a 75% chance of success, determine:
  1. The probability of failure if you utilize 2 components.
  2. The probability of failure if you utilize 5 components.
  3. The number of components needed to insure that the probability of success is at least 99%.