Extracted text: A survey asked 206 people what alternative transportation modes they use. The...

Question

Extracted text: A survey asked 206 people what alternative transportation modes they use. The results are below.
102 walk
128 use the bus
85 ride a bicycle
61 walk and use the bus
36 walk and ride a bicycle
42 ride the bus and ride a bicycle
17 said they use all three modes of transportation
How many people only ride the bus?
How many people don't use any alternate transportation?

Dikchha · Accepted Answer

1.42 people only ride the bus
Let A, B and C represents the event of walking, taking bus and taking a bicycle respectively.
According to the question,
n(A) = 102,
n(B) = 128,
n(C) = 85,
n(A∩B) = 61,
n(A∩C) = 36,
n(B∩C) = 42,
n(A ∩ B ∩ C) = 17,
Hence,

A survey asked 206 people what alternative transportation modes they use. The results are below. 102 walk 128 use the bus 85 ride a bicycle 61 walk and use the bus 36 walk and ride a bicycle 42 ride...

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