Can someone show me how to do this problem? I think that it is conditional probability, but I am unsure how to set up the problem. Thanks...
If the letters in the word "POKER" are rearranged, what is the probability that the word will begin with the letter "O" and end with the letter "R"?
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Probability word begins with O, ends with R 
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Probability word begins with O, ends with R
by Mere on Sat Aug 08, 2009 12:50 am
- Mere
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by stapel_eliz on Sat Aug 08, 2009 1:17 am
In how many ways can you arrange the letters?
If you fix O as the first letter and R as the last, in how many ways can you arrange the other letters?
Divide the latter by the former.
If you fix O as the first letter and R as the last, in how many ways can you arrange the other letters?
Divide the latter by the former.
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stapel_eliz - Posts: 1705
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Re: Probability word begins with O, ends with R
by Mere on Sat Aug 08, 2009 1:29 am
So...
If you can arrange all of the letters in "POKER" in 120 ways, and
you can arrange letters "PKE" (with O and R on the outside) in 6 ways,
would it be 6/120?
If you can arrange all of the letters in "POKER" in 120 ways, and
you can arrange letters "PKE" (with O and R on the outside) in 6 ways,
would it be 6/120?
- Mere
- Posts: 7
- Joined: Fri Aug 07, 2009 3:01 am
- Location: USA
by stapel_eliz on Sat Aug 08, 2009 2:01 am
Mere wrote:...would it be 6/120?
Your reasoning looks good to me!
Just remember to simplify your answer before you hand it in.
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stapel_eliz - Posts: 1705
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