# Probability: Game of Cards

Two cards from 52 card sets were missing. A card from the rest of the cards was selected randomly. What is the probability that it is a spade?

I have solved this problem like this,

So total → $$\dfrac{36}{50}$$

but the answer given is like→

Are they correct? And why can't I solve it in the way which I have done?

• Does it make sense to you that removing two cards would increase the chance of getting a spade ? Dec 27, 2019 at 11:07

The two cards missing can be anything, thus it doesn't affect the probability to get a spade, which is still $$\frac{1}{4}$$. Imagine all but one card was missing, i.e. 51 cards missing, the remaining one has the same probability to be a spade, that if you would select one card among the full set of 52 cards.