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Pennsylvania has a lottery entitled "Big 4". To win, a player must correctly match 4 digits,...

Pennsylvania has a lottery entitled "Big 4". To win, a player must correctly match 4 digits, in order, from a daily lottery in which four digits are selected. Digits are chosen from four separate bins, each containing 10 balls numbered 0-9. The only way to win is to match all 4 digits. If the payoff for a $100 bet is $10000, what is the expected value of winning? Create the probability model for this situation. Based on the model, is it worth playing?  

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