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 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.

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

The four aces, the four deuces, and the joker are separated from a standard deck of 53 cards. Two cards are selected at random from the nine, without replacement. What is the probability that both cards will be red?

Note: The joker is considered to be neither red nor black.

A penny is flipped ten times; each flip results in heads.

True or false: The coin must be loaded so that it comes up heads more often than tails.

Jan and Jeff 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.

Jan is down to her last turn. She has rolled the dice once and has the following: 1-2-3-4-6.

She must score a "large straight", which comprises five dice in sequence. (1-2-3-4-5, or 2-3-4-5-6). If she re-rolls the "6", what is the probability that she will get her large straight on her second or third roll?

Two fair dices are rolled. If the first die is an odd number what is the probability that the sum of the two dice equal 8?

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 the two cards will be of different color?