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Question

in a lecture hall, 4 students randomly sit in a row of 10 seats. what is the probability that the 4 students all sit at least one seat apart from each other?

Answer

Students, the likelihood of all four individuals choosing a seat while keeping a space between each other is quite small - only 0.05%, or 1/2016. However, this percentage is equivalent to a 60% chance of the four students selecting seats with at least one empty spot between them. The reason for this is because there are a total of six empty seats available for the students to choose from. Each student has a 1/10 chance of randomly selecting a seat from the ten available, but there are additional conditions to consider due to them sitting in a row. For example, the first student will have only nine seats to choose from because the last seat is already taken by the fourth student. This pattern continues, and the likelihood of each student choosing seat goes down from 1/9 to 1/8, 1/7 and 1/6, respectively. Multiplying these probabilities gives us the total probability of all four students selecting seats with at least one empty space between them, which is 1/2016. This amounts to a 0.05% chance or 60% likelihood. If you want to discover more about probability, click here: brainly.com/question/5495713 #SPJ4