SOLUTION: A computer is programmed to print 26 letters of the alphabet in random order. 1. What is the probability that the word BLUE appears somewhere in the sequence of letters? 2. W

Algebra.Com
Question 856342: A computer is programmed to print 26 letters of the alphabet in random order.
1. What is the probability that the word BLUE appears somewhere in the sequence of letters?
2. What is the probability that the letters B,L,U,E (i.e. the words BLUE or LBUE or ELBU, etc) appear in a row somewhere in the sequence of letters?

Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!
1)The b must appear in the first 23 letters. There are 23 different locations it can occupy. Each other letter has only 23 places that it can occupy also.
1/23 * 1/22 * 1/21 * 1/20 * 23 = 1/9240
.
2)
4!/26P4
=24/358800
1/14950
.
Ed

RELATED QUESTIONS

A computer is programmed to print the 26 letters of the alphabet in random order. (a)... (answered by ewatrrr)
A computer is programmed to randomly print two capital letters in a row without repeating (answered by oberobic)
If the 26 letters of the alphabet are arranged at random in a row, what is the... (answered by Edwin McCravy)
A 3-character key code is randomly generated by a computer using the 26 letters of the... (answered by stanbon,ewatrrr)
Please help me solve the two questions: 1.A person selects 3 letters randomly from 26... (answered by stanbon)
Twenty-six tiles with each of the 26 letters of the alphabet printed on them are placed... (answered by Positive_EV)
A bucket has all 26 letters of the alphabet inside. What is the probability that 10... (answered by solver91311)
Tiles with each of the 26 letters of the alphabet printed on them are placed in a box. If (answered by stanbon)
A letter of the alphabet is selected at random. What is the probability that the letter... (answered by Alan3354)