The McHorrible restaurant is running a contest where customers can match a symbol on the inside of the wrapper of their “Big Horrible” sandwich to win either food or money prizes. The restaurant claims the probability of winning a food prize is 0.7, the probability of winning a cash prize from $1 to $5 is 0.2 and the chance of winning a larger cash prize is 0.2. Is this probability assignment legitimate? Explain.