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.)

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 coin is loaded so that it comes up heads 60% of the time. If it is tossed six times, what is the probability that it will come up heads at least five times?

Choose the closest response.

A fair coin comes up heads with probability . This probability is an example of:

A number of black and white balls are placed in a box. A ball is drawn and replaced, and its color is noted; this is repeated 100 times. At the end of the experiment, it is noted that a black ball was drawn 23 times; it is concluded that the probability of drawing a black ball from the box is .

This is an example of:

Mike and Spike are playing a game of poker dice, in which a turn comprises the following process:

1. Roll all five dice - note: these are standard six-sided dice, which you may assume to be fair.

2. Keep the dice you want, then roll the remaining dice in hope of improving your score.

3. Repeat Step 2, after which whatever you have stands.

Mike is down to his last turn. He has rolled the dice once and has the following: 1-3-3-3-5.

He must roll a five of a kind in order to score. If he re-rolls the "1" and the "5", what is the probability that he will get five "3's"?

A number of black and white balls are placed in a box. A ball is drawn and replaced, and its color is noted; this is repeated 100 times. At the end of the experiment, it is noted that a black ball was drawn 23 times; it is concluded that the probability of drawing a black ball from the box is .

This is an example of:

A fair coin comes up heads with probability . This probability is an example of:

Mike and Spike are playing a game of poker dice, in which a turn comprises the following process:

1. Roll all five dice - note: these are standard six-sided dice, which you may assume to be fair.

2. Keep the dice you want, then roll the remaining dice in hope of improving your score.

3. Repeat Step 2, after which whatever you have stands.

Mike is down to his last turn. He has rolled the dice once and has the following: 1-3-3-3-5.

He must roll a five of a kind in order to score. If he re-rolls the "1" and the "5", what is the probability that he will get five "3's"?

A coin is loaded so that it comes up heads 60% of the time. If it is tossed six times, what is the probability that it will come up heads at least five times?

Choose the closest response.