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- A Venn diagram is a graphical representation of sets and their relationships1. It can be used to solve probability problems by showing the possible outcomes and their frequencies2341.Some examples of probability problems using Venn diagrams are2341:
- Finding the probability that a pupil owns a laptop, given that they own exactly one device, out of a sample of pupils who own laptops, tablets, or both2.
- Finding the probability that a randomly selected student likes mathematics but not physics, out of a sample of students who like mathematics, physics, or both3.
- Finding the probability that a randomly selected number is prime and not even, out of a sample of numbers that are sorted into prime and even numbers4.
- Finding the probability that a randomly selected person has travelled to Spain, out of a sample of people who have travelled to Spain, Greece, or both1.
Learn more:✕This summary was generated using AI based on multiple online sources. To view the original source information, use the "Learn more" links.To calculate the probability of an event: Find the number of elements in the Venn diagram, this is (n)( (ξ)). P ( (A)) = (n)( (A)) ÷ (n)( (ξ)) The answer may be written as a fraction, decimal or percentage. Examples The Venn diagram shows two holiday destinations that people have travelled to, 𝑺 = {Spain} and 𝑮 = {Greece}.www.bbc.co.uk/bitesize/topics/z3x2h4j/articles/zpm…The Venn diagram shows there are 29 + 22 = 51 pupils who own exactly one device (this becomes the denominator of the conditional probability). Out of these 51 pupils, 29 own a laptop. Therefore, the probability that a pupil chosen at random owns a laptop, given that they own exactly one device = (frac {29} {51}).www.bbc.co.uk/bitesize/guides/zsrq6yc/revision/9From the Venn diagram, we note that 30 students like mathematics but not physics. Since a student is randomly selected, we can obtain the probability of this event when dividing this number by the total number of students, which is 100. Hence, the probability that a randomly selected student likes mathematics but not physics is 3 0 1 0 0 = 0. 3.www.nagwa.com/en/explainers/403141497934/The Venn diagram below shows a set of numbers that have been sorted into prime numbers and even numbers. A number is chosen at random. Find the probability that the number is prime and not even. frac {3} {4} 43 frac {5} {10} 105 frac {3} {10} 103 frac {3} {8} 83thirdspacelearning.com/us/blog/venn-diagram-ques… Venn Diagram - Math Steps, Examples & Questions - Third …
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Sep 23, 2024 · In middle school, students learn to use set notation with Venn diagrams and start to find probabilities using Venn diagrams. The questions below are examples of questions that students may encounter in 6th, 7th and …
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