anonymous
  • anonymous
Probability assistance for a medal, anyone? Suppose you select 2 letters at random from the word compute. Find each probability. P(2 vowels) Side note: In the video I watched on this topic, the guy used a calculator that supported nCr, but I cannot find one that can solve this problem.
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
I know the equation to solve this is \[\frac{ s }{ s+f }\] s = successes and f = failures I'm not sure how to get an answer though.
anonymous
  • anonymous
There are \(7\) letters you can choose from the word "compute". \(3\) of these are vowels (o,u,e). There are \(\dbinom72={}_7C_{2}=\dfrac{7!}{2!(7-2)!}\) ways of choosing any \(2\) letters, and \(\dbinom32\times\dbinom40=\dfrac{3!}{2!(3-2)!}\times1\) ways of choosing two vowels. So, \[P(\text{2 vowels})=\frac{\dbinom32}{\dbinom72}\]
anonymous
  • anonymous
Thank you for your help. :)

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