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3 years ago

What is the greatest common factor of 24s3, 12s4, and 18s?

Mathematics

1 answer:

Paha777 [63]3 years ago

4 0

6s as 6 goes into 24, 12 and 18

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A message source M of a digital communication system outputs a word of length 8 characters, with the characters drawn from the t

marysya [2.9K]

Answer:

The probability that M produces a word that looks like a byte is $(\frac{2}{3})^8$ .

Step-by-step explanation:

It is given that a message source M of a digital communication system outputs a word of length 8 characters.

The characters drawn from the ternary alphabet {0,1,2}, and all such words are equally probable.

Total possible outcomes is

$3\times 3\times 3\times 3\times 3\times 3\times 3\times 3=3^8$

We need to find the probability that M produces a word that looks like a byte (i.e., no appearance of ‘2’). It means only 0 and 1 are included in the word.

Total favorable outcomes is

$2\times 2\times 2\times 2\times 2\times 2\times 2\times 2=2^8$

The formula for probability is

$p=\frac{\text{Favorable outcomes}}{\text{Total outcomes}}$

$p=\frac{2^8}{3^8}$

$p=(\frac{2}{3})^8$

Therefore the probability that M produces a word that looks like a byte is $(\frac{2}{3})^8$ .

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3 years ago