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?

Answer 1

4/13

Explanation:

See the attached file for explanation.

Answer 2

`(4)/(13)`

Explanation:

There are 26 Letters in the alphabet.

• n(S)=26

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

`=(n(T))/(n(S)) \\=(8)/(26)\\=(4)/(13)`