Question

He probability of choosing a vowel (a, e, i, o, or u) from a deck of cards containing the 26 letters of the alphabet is shown below. what is the probability of choosing the letters a and e one after the other without replacement?

Answer 1

`|\Omega|=26\cdot25=650\\ |A|=1\\\\ P(A)=(1)/(650)\approx0.15\%`

Answer 2

Small. very small.

Out of 26 cards, you must choose one of them -- an "a". That's 1/26.

There are 25 cards left and again you must choose one of them. That's one out of 25. or 1/25.

The probability can only be 1/26 * 1/25 = 1/650

Put another way, if you played this game 650 times, you would only choose an a first and an e second once.