The answer is 65/126.
To calculate this, a multiplication rule is used. The multiplication rule calculates the probability that both of two events will occur. So, in a bag, there are 36 cards in total. The probability to draw card with a letter is 26 out of 36 or [tex] \frac{26}{36} [/tex]. After the first draw, there are now 35 cards in the bag. The probability to draw card with a letter now is 25 (since one letter is already out) out of 35 or [tex] \frac{25}{35} [/tex].
Since we need for both events to occur, using the multiplication rule, we can calculate the probability that Amy draws two letters:
[tex] \frac{26}{36} [/tex] × [tex] \frac{25}{35} [/tex] = [tex] \frac{650}{1260} [/tex] = [tex] \frac{65}{126} [/tex]
