SOLUTION: The tiles E, T, F, U, N, X, and P of a word game are placed face down in the lid of the game. If two tiles are chosen at random, find each probability. 1) P(E ,then N) ,if r

Algebra ->  Probability-and-statistics -> SOLUTION: The tiles E, T, F, U, N, X, and P of a word game are placed face down in the lid of the game. If two tiles are chosen at random, find each probability. 1) P(E ,then N) ,if r      Log On


   

Question 479441: The tiles E, T, F, U, N, X, and P of a word game are placed face down in the lid of the game. If two tiles are chosen at random, find each probability.

1) P(E ,then N) ,if replacement occurs
2) P(2 consonants) ,if replacement occurs
3) P(T ,then D) ,if replacement occurs
4) P(2 consonants) ,if no replacement occurs
5) P(select the same letter twice) ,if no replacement occurs
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The tiles E, T, F, U, N, X, and P of a word game are placed face down in the lid of the game. If two tiles are chosen at random, find each probability.
Vowels: E,U
Consonants: T,F,N,X,P
1) P(E ,then N) ,if replacement occurs:::::(1/7)^2
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2) P(2 consonants) ,if replacement occurs:::(5/7)^2
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3) P(T ,then D) ,if replacement occurs :::(1/7)^2
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4) P(2 consonants) ,if no replacement occurs:::(5/7)(4/6) = 10/21
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5) P(select the same letter twice) ,if no replacement occurs:: 0 because
it cannot be done.
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Cheers,
Stan H.
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