SOLUTION: In the English alphabet there are a total of 26 letters, of which 5 of them are vowels. Suppose that 5 letters are randomly typed, find the probability that all of the 5 letters ar

Algebra ->  Probability-and-statistics -> SOLUTION: In the English alphabet there are a total of 26 letters, of which 5 of them are vowels. Suppose that 5 letters are randomly typed, find the probability that all of the 5 letters ar      Log On


   

Question 739655: In the English alphabet there are a total of 26 letters, of which 5 of them are vowels. Suppose that 5 letters are randomly typed, find the probability that all of the 5 letters are the same.
That's what I thought: (1/26)(1/26)(1/26)(1/26)(1/26) I know it's incorrect because it cannot indicate the five letters are same. Help please! Thank you so much!
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
In the English alphabet there are a total of 26 letters, of which 5 of them are vowels. Suppose that 5 letters are randomly typed, find the probability that all of the 5 letters are the same.
That's what I thought: (1/26)(1/26)(1/26)(1/26)(1/26)
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The 1st letter is chosen.
The chance of the 2nd being the same is 1/26
Same for 3rd, 4th & 5th
= (1/26)^4