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Problem. We would like to bet 1 EUR on the tonight's soccer match. The odds (decimalodds) quote the ratio of the payout amount, including the original stake, to the stake itself.There are 2 types of bet under consideration. With the first we can bet on the winning of the home team. The odds of this bet is 3.5,which means that if we bet 1 EUR, then if the home team win, we win 3.50 EUR, otherwise wedo not win anything. With the second bet we can bet the event that more than 3 goals will be scored. The odds of this is 2, which means that if we bet our 1 EUR, then if more then 3 goals will be scored, we win 2 EUR, otherwise we do not win anything. We have a model which predict the probability of these events. It predicts that the probability of the home team winning is 0.4, and the probability that more than 3 goals will be scored is0.7. 1. Should we play any of the two bets? If yes, which bet should we choose if we have 1 EUR? 2. How should we play these bets if we have 3 EUR in the case if the two events (winning of the home team and more than 3 goals scored) are independent from each other?

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