# Use the multinational distribution to find the house percentage in this game.

A particular scratch-lottery ticket has 16 painted boxes on it, each box having one of the numbers 1, 2, 5, 10, 100 or 1,000 hidden under the paint. When the paint is scratched off and it appears that a same number shows up in seven or more boxes, the player wins an amount equal to that number multiplied by the purchasing price of the ticket. It is understood that, in cases where more than one number appears seven or more times, the higher number will serve as the winner. The preprinted number assortments are established randomly in accordance with the premise that on average 25% of the numbers will be a 1, 20% of the numbers will be a 2, another 20% will be a 5, 15% will be a 10, 10% will be a 100, and 10% will be a 1,000. Use the multinational distribution to find the house percentage in this game.

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