Question 857643: A computer is programmed to print the 26 letters of the alphabet in
random order.
(a) What is the probability that the word BLUE appears somewhere in
the sequence of letters?
(b) What is the probability that the letters B,L, U, and E (i.e. the words
BLUE or LBUE or ELBU, etc) appear in a row somewhere in the
sequence of letters?
Answer by ewatrrr(24785)   (Show Source):
You can put this solution on YOUR website!
Hi,
26 letters of the alphabet in random order. 26! total ways of arranging
(a) What is the probability that the word BLUE appears somewhere in the sequence of letters?
Consider 'BLUE' as one letter, so to speak. P = 22!/26! = 1/358,800
(b) What is the probability that the letters B,L, U, and E (i.e. the words
BLUE or LBUE or ELBU, etc) appear in a row somewhere in the sequence of letters?
24 (4P4) ways of arranging Letters B, L, U, E: P = 24(22!/26!)
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