SOLUTION: Some states have license plates formed by 3 letters followed by 3 digits. Both letters and the digits may be repeated. If license plates are randomly assigned, what is the probab

Algebra ->  Permutations -> SOLUTION: Some states have license plates formed by 3 letters followed by 3 digits. Both letters and the digits may be repeated. If license plates are randomly assigned, what is the probab      Log On


   

Question 453820: Some states have license plates formed by 3 letters followed by 3 digits. Both letters and the digits may be repeated.
If license plates are randomly assigned, what is the probability that a person would receive a license plate that contains all vowels and odd digits.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Some states have license plates formed by 3 letters followed by 3 digits. Both letters and the digits may be repeated.
If license plates are randomly assigned, what is the probability that a person would receive a license plate that contains all vowels and odd digits.
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Info:
5 vowels
5 odd digits
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# of ways to get 3 vowels: 5C3 = 5C2 = 10
# of ways to get 3 odd digits: 5C3 = 5C2 = 10
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# of plates with all vowels and odd digits: 10*10 = 100
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# of random plates: 26C3*10C3 = 312000
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P(plate with vowels and odd digits) 100/312000 = 0.0003205...
Cheers,
Stan H.