Factory Shortages A factory needs two raw materials, say, E and F. The probability of not having an adequate supply of material E is 0.06, whereas the probability of not having an adequate supply of material F is 0.04. A study shows that the probability of a shortage of both E and F is 0.02. What is the probability of the factor)' being short of either material E or F? 6. Analyzing a Game A player rolls a fair die and receives a number of dollars equal to the number of dots appearing on the face of the die. What is the least the player should expect to pay in order to play the game? 8. Analyzing a Game Thirteen playing cards, ace through king, are placed randomly with faces down on a table. The prize for guessing correctly the face of any given card is $ 1. What would be a fair price to pay for a guess?