### Home > MC1 > Chapter 6 > Lesson 6.3.1 > Problem6-125

6-125.

Steve shuffles a standard deck of $52$ playing cards and starts to turn them over one at a time. The first three cards he turns over are an ace, a four, and a jack.

1. How many cards are left in the deck?

Subtract the number of cards he has turned over from the total number in the deck.

$49$

2. How many of the remaining cards are aces?

How many aces are there in a deck of cards? How many aces has Steve already turned over?

3. What is the probability that the fourth card will be an ace?

You will need to use your answers from parts (a) and (b) to solve this problem.

$\frac{\text{number of aces left}}{\text{number of cards left}} = \frac{3}{49}$

4. Instead of getting an ace, he gets a two as the fourth card. The fifth card is a five. What is the probability that the next card will be a king?

After Steve removes $5$ cards, how many cards are left in the deck? How many of those cards are kings?

Use the eTool below to help you with this problem.
Click the link at right for the full version of the eTool: 6-125 HW eTool (CPM)