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# hlp

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https://vle.mathswatch.co.uk/images/questions/question16972.png

Jun 16, 2020

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a) The meal deal consists of one sandwich, one drink, one dessert. There are 5 different choices of a sandwich, 5 choices of a desssert, and 6 choices of a drink so $$5\cdot4\cdot6=\boxed{120}$$ different combinations.

b) Two of the four desserts are sugar free so there's a $$\frac{1}{2}$$ chance that the dessert chosen is sugar free. 3 of the the 6 drinks are sugar free so there's also a $$\frac{1}{2}$$ chance the drink chose is sugar free. Therefore the probability that both are sugarfree is $$\frac{1}{2}\cdot\frac{1}{2}=\boxed{\frac{1}{4}}$$

Jun 16, 2020