Clue is a board game in which players are given the opportunity to solve a murder that has six suspects, six possible weapons, and nine possible rooms where the murder may have occurred. The six suspects are Colonel Mustard, Miss Scarlet, Professor Plum, Mrs. White, Mr. Green, and Mrs. Peacock. Determine a sample space for the choice of murderer. Discuss how to form a sample space with the entire solution to the murder, giving murderer, weapon, and site.
(a) How many outcomes would the sample space for the entire solution have?
Let E be the event that the murder occurred in the library. Let F be the event that the weapon was a gun.
(b) Describe E ( F.
(c) Describe E( F.