### Home > CCG > Chapter 5 > Lesson 5.1.1 > Problem5-10

5-10.

Susannah is drawing a card from a standard $52$-card deck. Click playing cards to learn what playing cards are included in a deck.

1. What is the probability that she draws a card that is less than $5$?

How many cards in a deck are less than $5$?
How does that compare to the total number of cards?

2. What is the probability that the card she draws is $5$ or more? Use a complement.

Remember that a complement of an event is all the outcomes in the sample space that are not in the original event.

$1-\frac{\large\text{# of cards less than}\ 5}{\large\text{total number of cards}}=\text{the probability of drawing a card greater than 5}$

3. What is the probability that the card she draws is a red card or a face card? Show how you can use the Addition Rule to determine this probability.

The Additional Rule is the $P(\text{red or face card)}=P(\text{red card)}+P(\text{face card)}-P(\text{red and facecard)}$