Game 3: Drawing a Card

Use this game for questions 8-10

You must draw a card from a standard 52-card deck for this game. If you draw an Ace, you win $20.00. If you draw a face card, you win $5.00. If you draw any other card, you lose $4.00.

- Question 8

Game 3: Drawing a Card

Fill in the probability of each event given in the table below.

Enter your answer as asimplified fraction.

Event	Probability
Drawing an Ace in a standard 52-card deck
Drawing a face card (King or Queen or Jack) in a standard 52-card deck
Drawing any other card(2, 3, 4, 5, 6, 7, 8, 9, or 10) in a standard 52-card deck

- Question 9

Game 3: Drawing a Card

Calculate the expected value of the game.

Hint: Use the probability table above.

Round the expected value to the nearestcent.

The expected value is $

- Question 10

Game 3: Drawing a Card

One ace is removed from the deck. Calculate the expected value of the game with one ace removed. The game is now as follows:

For this game, you must draw a card from a standard 52-card deck, withone ace removed. If you draw an Ace, you win $20.00. If you draw a face card, you win $5.00. If you draw any other card, you lose $4.00.

Hint: Calculate the probability of the following with one ace removed from the deck.

1. Drawing an ace
2. Drawing a face card
3. Drawing any other card

Round the expected value to the nearestcent.

The expected value with one ace removed is $