## You shuffle a deck of 26 cards represent the letters of the alphabet you randomly select a card from the deck what is the theoretical probab

Question

You shuffle a deck of 26 cards represent the letters of the alphabet you randomly select a card from the deck what is the theoretical probability that the card represents one of the letters in the word touchdown?

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Math
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2021-12-30T22:09:47+00:00
2021-12-30T22:09:47+00:00 2 Answers
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## Answers ( )

Answer:

4/13

Step-by-step explanation:

See the attached file for explanation.

Answer:[tex]\dfrac{4}{13}[/tex]

Step-by-step explanation:There are 26 Letters in the alphabet.

In the word TOUCHDOWN, we have the letters T,O,U,C,H,D,W,N

There are 8 letters in the word Touchdown.

n(Touchdown)=n(T)=8

Therefore, the theoretical probability that the card represents one of the letters in the word touchdown

[tex]=\dfrac{n(T)}{n(S)} \\=\dfrac{8}{26}\\=\dfrac{4}{13}[/tex]