Problem Set 5 Due on Nov 21 in class NO late submissions accepted 1 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 ends included on the top c There re ve red balls and two white balls in a bag Randomly choose one 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 in Japan and the rest are made in the United States Further there re only two 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 If we randomly choose one of them what is the probability of this car to be a Japan made vehicle or an SUV What about that it is a Japan made SUV 1
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