Have you ever played a game where everyone should have an equal chance of winning, but one person seems to have all the luck? Did it make you wonder if.

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Presentation transcript:

Have you ever played a game where everyone should have an equal chance of winning, but one person seems to have all the luck? Did it make you wonder if the game was fair? Sometimes random events just happen to work out in one player’s favor, such as flipping a coin that happens to come up heads four times in a row. But it is also possible that games can be set up to give an advantage to one player over another. If there is an equal chance for each player to win a game, then it is considered to be a fair game. If it is not equally likely for each player to win, a game is considered to be unfair. In this lesson you will continue to investigate probability. As you work, ask these questions in your study team: How many outcomes are possible? How many outcomes are desirable?

Each deck has 4 suits and contains 52 cards total: Clubs, Hearts, Spades, and Diamonds. Each ‘suit’ has 13 cards (10 regular cards and 3 face cards).

5-23. PICK A CARD, ANY CARD What is the probability of picking the following cards from the deck? Write your response as a fraction, as a decimal, and as a percent. a. P(black)? b. P(club)? c. If you drew a card from the deck and then replaced it, and if you repeated this 100 times, about how many times would you expect to draw a face card (king, queen, or jack)? Explain your reasoning.

5-24. Sometimes it is easier to figure out the probability that something will not happen than the probability that it will happen. When finding the probability that something will not happen, you are finding the probability of the complement. Everything in the sample space that is not in the event is in the complement. a. What is the probability you do not get a club, written P(not club)? b. What is P(not face card)? c. What would happen to the probability of getting an ace on a second draw if you draw an ace on the first draw and do not return it to the deck? Justify your answer.

5-26. The city has created a new contest to raise funds for a big Fourth of July fireworks celebration. People buy tickets and scratch off a special section on the ticket to reveal whether they have won a prize. One out of every five people who play get a free entry in a raffle. Two out of every fifteen people who play win a small cash prize. a. If you buy a scratch-off ticket, is it more likely that you will win a free raffle ticket or a cash prize? Explain your answer. b. What is the probability that you will win something (either a free raffle entry or a cash prize)? c. What is the probability that you will win nothing at all? To justify your thinking, write an expression to find the complement of winning something.

Practice – Finish sheet on your own