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What is the probability that two people sit next to each other?

Posted on January 3, 2023 by Author

Table of Contents

  • 1 What is the probability that two people sit next to each other?
  • 2 How many different ways students can sit next to each other?
  • 3 How many ways can six students line up if two students want to stand next to each other?
  • 4 What is the possible arrangement of 3 persons sitting around a circular table?

What is the probability that two people sit next to each other?

Answer To The Probability Of Sitting Next To Someone Of which, there are 2 spots adjacent to a–one to the left and one to the right (shown in green in the following diagram). Therefore, the probability a and b will be seated next to each other is 2/4 = 1/2.

What is the probability of two numbers?

Probability of Two Events Occurring Together: Independent Just multiply the probability of the first event by the second. For example, if the probability of event A is 2/9 and the probability of event B is 3/9 then the probability of both events happening at the same time is (2/9)*(3/9) = 6/81 = 2/27.

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How many different ways students can sit next to each other?

Take the seat numbers as 1,2,3,4,5,6. So the 2 students that insist on sitting next to each other can sit at 1,2 or 2,3, or 3,4 or 4,5, or 5,6 (5 possibilities). So there are 5 * 4! = 5 * 24 = 120 ways that the 6 students can be seated.

How many ways are there if two of the persons insist on sitting next to one another?

The two persons who insist on sitting next to each other can be seated in 2 different ways. The remaining 6 plus 1 group of the two persons = 7 entities can be arranged in a circular fashion in (7–1)! =6! ways.

How many ways can six students line up if two students want to stand next to each other?

Candidates are lined up on stage behind podiums facing the audience. If two of the candidates refuse to be positioned next to each other, the candidates can be arranged in 480 different ways.

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How many arrangements are possible for Word Professional?

The word ‘professional’ contains 1 p, 1 r, 2 o, 1 f, 1 e, 2 s, 1 i, 1 n, 1 a, and 1 l. Here the vowels are 2 o, 1 e, 1 i, and 1 a. i. e., a total of 5 vowels. (v indicates vowels and c indicates consonants.) 8 types of arrangements are there.

What is the possible arrangement of 3 persons sitting around a circular table?

So there are two answers: There are 3! = 6 different ways of placing these three people in three distinct chairs.

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