Chance Experiments Have you ever heard a weatherman say there is a 40% chance of rain tomorrow or a football referee tell a team there is a 50/50 chance.

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Presentation transcript:

Chance Experiments

Have you ever heard a weatherman say there is a 40% chance of rain tomorrow or a football referee tell a team there is a 50/50 chance of getting a heads on a coin toss to determine which team starts the game? These are probability statements. Can you think of another situation where a probability statement might be used?

Spinner Competition Get into groups of 2 or 3. No larger Each player picks one color, cannot be the same Red, blue, or green Players will take turns spinning the spinner. The winner is the first player to have their color spun 10 times.

Before We Begin Does it matter who spins first? Who do you think will win? Is it possible someone else wins? Is this game fair?

Spin ‘Til You Win Make sure to record what color the spinner lands on each time you spin.

1. Which color was the first to occur 10 times? 2. Do you think it makes a difference who goes first to pick a color? 3. Which color would you pick to give you the best chance of winning the game? Why would you pick that color?

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Scale of Probability 0 1 impossiblecertain Equally likely and unlikely Why is this labeled “0?” Why is this labeled “1?”

Scale of Probability 0 1 impossiblecertain Equally likely and unlikely What is the probability of taking a white marble without looking?

Scale of Probability 0 1 impossiblecertain Equally likely and unlikely What is the probability of taking a white marble without looking?

Scale of Probability 0 1 impossiblecertain Equally likely and unlikely What is the probability of taking a white marble without looking?

Discussion What combination of marbles might be in the bag for it to be unlikely but not impossible to draw a white marble out of the bag?

What is Probability? Probability is a measure of how likely it is that an event will happen. A probability is indicated by a number between 0 and 1. Some events are certain to happen, while others are impossible. In most cases, the probability of an event happening is somewhere between certain and impossible. For example, consider a bag that contains only red cubes. If you were to select one cube from the bag, you are certain to pick a red one. We say that an event that is certain to happen has a probability of. If we were to reach into the same bag of cubes, it is impossible to select a yellow cube. An impossible event has a probability of 0.

I thought penguins were smart?

Activity With your shoulder partner, come up with an example of an event that meets the description. Make sure you are able to EXPLAIN why you assigned the event the probability you did.

Decide where each event would be located on the scale above. Place the letter for each event on the appropriate place on the probability scale. A. You will see a live dinosaur on the way home from school today. B. A solid rock dropped in the water will sink. C. A round disk with one side red and the other side yellow will land yellow side up when flipped. D. A spinner with four equal parts numbered 1–4 will land on the 4 on the next spin. E. Your full name will be drawn when a full name is selected randomly from a bag containing the full names of all of the students in your class. F. A red cube will be drawn when a cube is selected from a bag that has five blue cubes and five red cubes. G. Tomorrow the temperature outside will be −250 degrees.

An event that is impossible has a probability of 0 and will never occur, no matter how many observations you make. This means that in a long sequence of observations, it will occur 0% of the time. An event that is certain has a probability of 1 and will always occur. This means that in a long sequence of observations, it will occur 100% of the time. 9. What do you think it means for an event to have a probability of ½? 10. What do you think it means for an event to have a probability of ¼?

The numbers from 1 to 10 are written on small pieces of paper and placed in a bag. A piece of paper will be drawn from the bag. A. A piece of paper with a 5 is drawn from the bag. B. A piece of paper with an even number is drawn. C. A piece of paper with a 12 is drawn. D. A piece of paper with a number other than 1 is drawn. E. A piece of paper with a number divisible by 5 is drawn.