Jack and Jill agree to a game, the rules of which are as follows:

A card will be drawn from a standard 53-card deck (including the joker). If a club is drawn, Jack will pay Jill $100. If a card of any other suit is drawn, Jill will pay Jack $20.

For the game to be fair, what must happen in the event the joker is drawn?

(Note: The joker is not considered to be of any of the four suits.)

A card is drawn at random from a standard deck of 52 cards (the joker is not included), and its rank and suit are recorded.

Which of the following changes both the probability of drawing a black card and that of drawing an ace?

1. Replacing the ace of spades with the joker

2. Adding the joker

3. Removing the ace of spades

Jack and Jill agree to a game. A card is drawn at random from a standard deck of 52. If the card is a spade, Jack plays Jill $75. If the card is anything else, Jill pays Jack $25.

True or false: This is an example of a fair game.

The odds in favor of an event occurring are 17 to 4. To the nearest hundredth, what is the probability of the event happening?

Jack and Jill agree to a game. A card is drawn at random from a standard deck of 52 (no joker). If the card is a face card (king, jack, queen) or a ten, Jack plays Jill $50. If the card is anything else, Jill pays Jack $25.

Which of the following is true of the game?

From a standard deck of 52 cards (the joker is not included) a card is drawn. The person who draws it reveals only that the card is black.

A second card is drawn without replacement. What is the probability that the card will be a spade?

The twelve face cards (kings, queens, jacks) are separated from a standard deck of 52 cards. Two cards are selected at random from the twelve, without replacement. What is the probability that both cards will be kings?

The probability of an event is . What are the odds in favor of the event?