The Probability Simulation application on the TI-84 Plus can simulate drawing a card from one to three decks of cards. It even allows you to specify whether or not the card is placed back in the deck before another card is drawn. Those decks of cards can consist of 52 or 32 cards. A deck of 32 cards is a 52-card deck without any twos, threes, fours, fives, or sixes.

The application keeps track of the card picked each time the simulation is run and the data is displayed in a table. The application even gives you the option of saving your data so you can, if you choose, statistically analyze it at a later time.

## How to draw cards in Probability Simulation

To draw cards from one or more decks of cards, follow these steps:

1. Start the Probability Simulation application and press [5] to select the Draw Cards option in the Main menu.

You see the Draw Cards Home screen.

To use the Draw Cards simulator after using another simulator, repeatedly press [Y=] until you see the Main menu, and then press [5] to select the Draw Cards simulator.

2. Press [ZOOM] to display the Settings editor. Change the settings in Settings editor, as appropriate.

Decks tells the application how many decks of cards you want to use, Replace tells the application if you want the card placed back in the deck or decks of cards before another card is drawn, and Deck Size tells the application how many cards are in the deck or decks of cards you are using.

To select these options, use the arrow keys to place the cursor on the option and press [ENTER] to select the option.

3. Press [GRAPH] to say OK to the settings in the Settings editor.

You see the Draw Cards Home screen. If you set the Replace option to Yes, the letter R appears in the upper-left corner of the screen.

4. Press [WINDOW] to draw cards.

Each time you press [WINDOW], the card drawn is displayed in the table on the screen.

If in Step 2 you set Replace to No, then the deck could eventually run out of cards. When this happens the simulator displays the “no more cards” message and will, of course, not allow you draw any more cards.

When this happens you have three options: Go do something else, press [GRAPH] to clear the table and start over with the same type of simulation, or press [ZOOM] to set up a different type of simulation.

## How to save the Draw Cards simulator’s data

When you save the data from the Draw Cards simulator, it is saved in three lists: Draw, Value, and Suit. The Draw list records the number of the draw. The Value list records the numerical value of the card.

The numerical value of an Ace is 1, a Jack is 11, a Queen is 12, and a King is 13. The Suit list records a Heart as 1, a Club as 2, a Spade as 3, and a Diamond as 4.