Many stores run "secret sales": Shoppers receive cards that determine how large a discount they get,but the percentage is revealed by scratching off that black stuff only after the purchase has been totaled at the cash register.The store is required to reveal (in the fine print)the distribution of discounts available.Determine whether the following probability assignment is legitimate.
Probability of ...
A)Legitimate
B)Not legitimate

Question

Many stores run "secret sales": Shoppers receive cards that determine how large a discount they get,but the percentage is revealed by scratching off that black stuff only after the purchase has been totaled at the cash register.The store is required to reveal (in the fine print)the distribution of discounts available.Determine whether the following probability assignment is legitimate.
Probability of ... 
A)Legitimate 
B)Not legitimate

Quizplus · Accepted Answer

The probability assignment is not legitimate because it is not a valid probability distribution. The sum of the probabilities provided is greater than 1, which violates the requirement that the sum of probabilities for all possible outcomes must equal 1.

Many Stores Run "Secret Sales": Shoppers Receive Cards That Determine