SOLUTION: What is the probability that if you rearranged the letters in the word TURKEY, you would get a “word” that starts with R and ends with a vowel? I tried two ways to get the answe

Algebra ->  Permutations -> SOLUTION: What is the probability that if you rearranged the letters in the word TURKEY, you would get a “word” that starts with R and ends with a vowel? I tried two ways to get the answe      Log On


   



Question 397989: What is the probability that if you rearranged the letters in the word TURKEY, you would get a “word” that starts with R and ends with a vowel?
I tried two ways to get the answer and I don't know which is correct.
1) (1/6) * (2/5) = 1/15
2) ((C (6.1) * C(5.2)) / 6! = 1/12
Are either of these correct?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
What is the probability that if you rearranged the letters in the word TURKEY, you would get a “word” that starts with R and ends with a vowel?
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Notice: 6 letters; 1 R ; 2 vowels
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#of ways to "succeed":
1st letter: 1 way
last letter: 2 ways
2nd-5th letter: 4*3*2*1 = 24 ways
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# of ways to succeed = 1*2*24 = 48
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Total # of possible arrangements: 6! = 720
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Prob of event as described = 48/720 = 1/15
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Cheers,
Stan H.