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6-8 Grade 7 Unit 8 Lesson 2

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Lesson 1 •Lesson 2 Lesson 3 Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 Lesson 10 Lesson 11 Lesson 12 Lesson 13 Lesson 14 Lesson 15 Lesson 16 Lesson 17 Lesson 18 Lesson 19 Lesson 20

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IM K-5 Math
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Lesson 2

2.1 Warm-up 2.2 Activity 2.3 Activity 2.4 Activity Student Lesson Summary Glossary

Unit 8, Lesson 2

Chance Experiments

Grade 7

2.1

Warm-up

Which is more likely to happen? Explain your reasoning.

When reaching into a dark closet and pulling out one shoe from a pile of 20 pairs of shoes, a left shoe is pulled out.
When listening to a 5-song playlist in shuffle mode, the first song on the playlist plays first.

2.2

Activity

For each chance experiment, label the event with one of these options:
impossible, unlikely, equally likely as not, likely, certain.
1. A raffle prize is given to the person holding 1 ticket drawn from the 100 given out.
  Event: One of the 2 tickets you have is chosen.
2. You time how long you wait before someone takes your order at a fast-food restaurant.
  Event: It takes less than 10 minutes.
3. You roll a standard number cube.
  Event: You get an even number on top.
4. A random 4-year-old child is selected and their height is measured.
  Event: The chosen child is over 6 feet tall.
5. You write down the weather on July 1.
  Event: It snowed on that day.
6. You toss a ball into water.
  Event: The ball gets wet.
7. You spin the spinner here and find out which part the arrow points to.
  Event: It points to green.
8. You spin the spinner here and find out which part the arrow points to.
  Event: It points to red.
  
  A circular spinner divided into 3 parts. The top half of the spinner is divided into two equal parts, a yellow section, labeled “Y” and a blue section, labeled “B.” The bottom half of the spinner is one green section labeled “G.” The spinner dial points to the section labeled "G."
Discuss your answers to the previous question with your partner. If you disagree, work to reach an agreement.
For each of the 5 labels, write a combination of chance experiment and event that fits the likelihood.

2.3

Activity

Your teacher will have 2 students play a short game.

During the first round, player 1 won if it was even, and player 2 won if it was odd. What do you notice about the results of the games this round?
During the second round, player 1 won if it was 1, 2, 3, or 4, and player 2 won if it was 5 or 6. What do you notice about the results of the games this round?
Did you expect those results? Explain your reasoning.

2.4

Activity

Your teacher will give you a set of cards. Each card contains a situation describing a chance experiment and event.

Sort the situations so that they are in order from least likely to most likely.

Student Lesson Summary

A chance experiment is something that can be done over and over again, and what ends up happening is unknown before doing the experiment. For example, flipping a coin is a chance experiment because we don’t know if the result will be a head or a tail. An outcome of a chance experiment is one of the things that can happen when the experiment is done. For example, when a coin is flipped, one possible outcome is that it will be a head. An event is a set of one or more outcomes.

We can describe events using these words and phrases:

Impossible
Unlikely
Equally likely as not
Likely
Certain

For example, if we flip a coin:

It is impossible that the coin will turn into a bottle of ketchup.
It is unlikely that the coin will land on its edge.
It is equally likely as not that we will get a tail.
It is likely that you will get a head or a tail.
It is certain that the coin will land somewhere.

The probability of an event is a measure of the likelihood that an event will occur. We will learn more about probabilities in the lessons to come.

A chance experiment is something that can be done over and over again, and what will happen each time is not known.

For example, each time the spinner is spun, it could land on red, yellow, blue, or green.

A spinner

An event is a set of 1 or more outcomes in a chance experiment.

For example, if a number cube is rolled, there are 6 possible outcomes.

An image showing the six different sides of a number cube.

Some events are “rolling a number less than 3,” “rolling an even number,” or “rolling a 5.”

An outcome of a chance experiment is one of the things that can happen.

For example, the possible outcomes of tossing a coin are heads and tails.