SOLUTION: What is the probability that an arrangement of the word BOOKKEEPER has 3 adjacent E’s in it? Example: BROKEEEKOP.

Question 1187676: What is the probability that an arrangement of the word BOOKKEEPER has 3 adjacent E’s in it? Example: BROKEEEKOP.

Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!

Let "X" = "EEE"

The number of distinguishable arrangements of BOOKKXPR is 8!/(2!2!) = 10080.

The number of distinguishable arrangements of BOOKKEEPER is 10!/(2!2!3!) = 151200.

The probability is 10080 ways out of 151200 or 10080/151200 which reduces to 1/15.

Edwin

RELATED QUESTIONS
What is the probability that a random arrangement of the letters in the word `SEVEN' will (answered by math_tutor2020,greenestamps,Alan3354)

on my homework i have to find the probability and put the answer in a percent . the... (answered by Alan3354,ikleyn)

The letters of the word STATISTICS are arranged randomly. What is the probability the... (answered by jim_thompson5910,Edwin McCravy,KMST,ikleyn)

How many ways can the letters e,a,t,m,s be arranged? What is the probability that a... (answered by ewatrrr)

All of the arrangements of the letters in the word ALGEBRA are written on a list, and... (answered by galactus)

All of the arrangements of the letters in the word ALGEBRA are written on a list, one of... (answered by ikleyn,greenestamps)

How many distinguishable arrangements are there of the letters in "arrangement" that do... (answered by Edwin McCravy)

An algebra class has 20 students and 20 desks. For the sake of variety, students change... (answered by math_tutor2020)

All letters of the word "EAMCET"are arranged in all possible ways.The number of such... (answered by Edwin McCravy)