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:
