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

Answer:

4/13

Step-by-step explanation:

See the attached file for explanation.

Answer 2

Answer:

$\dfrac{4}{13}$

Step-by-step 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

$=\dfrac{n(T)}{n(S)} \\=\dfrac{8}{26}\\=\dfrac{4}{13}$