Problem Set 5Due on Nov 21 in class, NO late submissions accepted1. Specify sample space, events, and calculate the probability(a) Flip two coins simultaneously with one head and one tail on the top(b) Roll a die and it lands with a number between 2 and 4(both endsincluded) on the top.(c) There’re five red balls and two white balls in a bag. Randomly chooseone of them and it is a red one.2. Suppose we randomly choose two numbers from 1, 2, . . . , 10, and event A= {sum of these two numbers s ∈ [5, 10]}. Calculate P (A), P (Ac)3. Suppose there are 100 vehicles parking in Lot 1. 60 of them are made inJapan and the rest are made in the United States. Further, there’re onlytwo types of vehicles: SUV and sedan car. Among Japan made vehicles,half them are SUVs, and for the US made ones, 1/4 of them are SUVs. Ifwe randomly choose one of them, what is the probability of this car to bea Japan made vehicle or an SUV? What about that it is a Japan
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