1. There are 20 houses on a street of which 3 have one vehicle, 10 have two vehi
ID: 3353135 • Letter: 1
Question
1. There are 20 houses on a street of which 3 have one vehicle, 10 have two vehicles, 5 have three vehicles, 1 has four vehicles, and 1 has five vehicles. Please leave the answers for this problem as fractions rather than decimals (a) If one of these houses is chosen at random, what is the probability that it has 2 vehicles? (b) If one of the vehicles is chosen at random, what is the probability that it comes from a house that has more than one? (c) If two vehicles are chosen at random, what is the probability that they belong to the same household?Explanation / Answer
a) probability that it has 2 vehicles =10/20 =1/2 (as there are 10 houses with 2 venicles out of 20)
b) probability hat house has more than1=(10+5+1+1)/20 =17/20 (as there are 17 house with more than 1 vehicle)
c) Probability that belong to same house =P(both belong to 1 vehicle house+both belong to 2 vehicle house+both belong to 3 vehicle house+both belong to 4 vehicle house+both belong to 5 vehicle house)
=(3/20)*(2/19)+(10/20)*(9/19)+(5/20)*(4/19)+0+0 =116/380=29/95
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