### Home > MC2 > Chapter 11 > Lesson 11.2.1 > Problem 11-31

Imagine a standard deck of cards with all of the aces and twos removed. Find each probability below.

How many hearts are there (remember the ace and two have been removed)? What is the new total number of cards with the aces and twos removed?

How many black cards are there (with aces and twos removed)? What is the new total number of cards now with the aces and twos removed?

What is the number of face cards? What is the new total number of cards?

How is the

different with this deck from the probability if the deck was not missing any cards? Which probability is greater? Why?

What is the probability of drawing a face card when the deck is not missing any cards?

Compare this probability with the one found in part (c).

The probability of drawing a face card with aces and twos removed is higher because there are fewer non-face cards.

What is

Since each suit loses the same number of cards,