TITLE: We lost two cards from a deck of $52$ cards. If we extract a card of this deck, what is the probability we get a diamond?
QUESTION [6 upvotes]: We lost two cards from a deck of $52$ cards. If we extract a card of this deck, what is the probability we get a diamond?
I'm confused here.
Suppose we lost two diamonds, then
$$P(\text{we get a diamond})=\frac{11}{50}$$
but, if we lost two cards of the other suits, we have
$$P(\text{we get a diamond})=\frac{13}{50}$$
if we lost one of the diamonds and one card from the other suits, we have:
$$P(\text{we get a diamond})=\frac{12}{50}$$
but here I'm not sure, can someone help me?

REPLY [2 votes]: Suppose you deal out all the cards, face down, in a line, and then turn over the leftmost card.  What's the probability that it is a diamond?  $\frac14$, of course.
Now deal out the cards as before, but this time, before you turn over the leftmost card, you take two cards off the right-hand end and, without looking at them, you throw them away.  What is the probability now that the leftmost card is a diamond?