The diagram below shows a spinner made up of a piece of card in the shape of a regular pentagon, with a toothpick pushed through its center. The five triangles are numbered from 1 to 5.The spinner is spun until it lands on one of the five edges of the pentagon. What is the probability that the number it lands on is odd?
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Assuming that the spinner is symmetric, so that the probability of landing on each the 5 faces is equal, then the probability in each case is P=1/5 = 20%
If you number the faces {1, 2, 3, 4, 5}, then you have 3 odd numbers, each one being independent. So the probability that the spinner will land on one of them is simply P=3/5 = 60%.
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In geometry and mechanics, a displacement is a vector whose length is the shortest distance from the initial to the final position of a point P undergoing motion. Wikipedia
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