# What is the probability that, in a single draw from a standard deck of cards, we will get either a Jack or a Diamond?

##### 1 Answer

Dec 23, 2014

There is a double in there: Jack of Diamonds. We must take care of that.

Probability of a Diamond:

Probability of a *non-Diamond* Jack:

Add probabilities:

Probabilities may be added, because we excluded the Jack of Diamonds in the second calculation. Therefore there is no more overlap.

Of course you could have worked the other way around, with the same result -- I'll leave that to you.