Final answer:
The expected mean amount won by several thousand customers playing the grocery store game will be close to the expected value of a customer's winnings, which is calculated by summing the product of each outcome and its probability.
Step-by-step explanation:
When several thousand customers play the grocery store game, we expect that the mean amount they win will be close to the expected value of a customer's winnings. To calculate the expected value, you add the products of each possible outcome of the game and its respective probability. For example, if a game has a chance to lose $2 or win $100,000, the expected value can be calculated using the probability of each outcome and the gains or losses associated with them. If over many repetitions, the expected value comes out to be negative, such as losing $1 on average for each game played, this indicates an expected average loss per game after playing the game over a long period.
As for the other options, the probability of winning something does not directly give you the expected winnings. The median amount won gives the middle value of all winnings, not the average. And the specific value of $100 does not relate to the expected value unless it has been given as the average or expected winnings from playing this game.