Question

If letters of the word COMPUTER are randomly arranged in a row, what is the probability that the letters CO remain next to each other (in order) as a unit

Answer 1

The probability that the letters CO remain next to each other (in order) as a unit is $\frac{1}{8}$ .

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty. It is more likely that an event will occur if its probability is higher.

When the letters are arranged randomly in a row, the total number of arrangements is 40,320 , and the number of arrangements with the letters CO next to each other (in order) as a unit is 5,040.

Therefore, possible outcomes = 5040 and

Total outcomes = 40320

Probability = $\frac{Possible outcomes}{Total outcomes}$

p = $\frac{5040}{40320} = \frac{1}{8}$

Therefore, the probability that the letters CO remain next to each other (in order) as a unit is $\frac{1}{8}$ .

To learn more about probability with the given link

brainly.com/question/11234923

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