Two restaurants are located at random on a street 10 km long. What is the probability that they are located less than five kilometres apart?
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2 marks, −0.666666666666667StatisticsProbability and Bayes' theoremGeometric probability and probability paradoxesModerateabout 2 min
DSE 2014 Question 46: Probability and Bayes' theorem
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Two restaurants are located at random on a street 10 km long. What is the probability that they are located less than five kilometres apart? (A) 1/4 (B) 1/2 (C) 3/4 (D) 1/3
Probability and Bayes' theorem has come up 190 times in 7 exams since 2004.
What this question tests
This question is on Geometric probability and probability paradoxes, part of Probability and Bayes' theorem in Statistics.
Probabilities defined by length or area, and cases where intuition fails.
TestStop has 5 past-paper questions on this subtopic.
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Question from the DSE 2014 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.