# When a card is selected from a standard deck, what is the probability of getting a six and a king?

##### 1 Answer

As written, 0. Change And to Or and it's

#### Explanation:

When asking questions regarding And and Or, we need to be very careful.

As written, the question asks for us to draw 1 card and wants both a 6 and a King to result - meaning that the probability is 0 - there is no way to get both results with one draw.

**If we change the And to Or**, we now have a chance. There are four 6s and four Kings in a standard deck of 52 cards, and so the probability is:

**If we change the question so that we have two draws** and we want to end up with both a 6 and a King, the answer becomes dependent on whether or not there is replacement of the drawn card.

If we do the draws with replacement, on the first draw there is a

If we do the draws without replacement, the probability of the first draw does not change, but the second draw now has one less card to pick from, giving: