IM 7.8.9 Lesson: Multi-step Experiments

Is the equation true or false? Explain your reasoning.
[math]8=\left(8+8+8+8\right)\div3[/math]
[math]\left(10+10+10+10+10\right)\div5=10[/math]
[math]\left(6+4+6+4+6+4\right)\div6=5[/math]
The other day, you wrote the sample space for spinning each of these spinners once.
What is the probability of getting: Green and 3?[br][br][img]data:image/png;base64,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[/img][br]
What is the probability of getting: Blue and any odd number?[br]
Any color other than red and any number other than 2?[br]
The other day, you wrote the sample space for spinning each of these spinners once. What is the probability of getting:
The other day you looked at a list, a table, and a tree that showed the sample space for rolling a number cube and flipping a coin.
Use one of these three structures to use to answer the question: [b]What is the probability of getting tails and a 6? [/b]Be prepared to explain your reasoning.
Use one of the three structures (list, table, or tree) to use to answer the question: [b]What is the probability of getting heads and an odd number? [/b]Be prepared to explain your reasoning.
Suppose you roll two number cubes. What is the probability of getting: Both cubes showing the same number?[br]
Suppose you roll two number cubes. What is the probability of getting: [i]Exactly[/i] one cube showing an even number?[br]
Suppose you roll two number cubes. What is the probability of getting: [i]At least[/i] one cube showing an even number?[br]
Suppose you roll two number cubes. What is the probability of getting: Two values that have a sum of 8?[br]
Suppose you roll two number cubes. What is the probability of getting: Two values that have a sum of 13?[br]
Jada flips three quarters. What is the probability that all three will land showing the same side?
Imagine there are 5 cards. They are colored red, yellow, green, white, and black. You mix up the cards and select one of them without looking. Then, without putting that card back, you mix up the remaining cards and select another one.[br][br]Write the sample space below and tell how many possible outcomes there are.
What structure did you use to write all of the outcomes (list, table, tree, something else)? Explain why you chose that structure.
What is the probability that: You get a white card and a red card (in either order)?[br]
What is the probability that: You get a black card (either time)?[br]
What is the probability that: You do not get a black card (either time)?[br]
What is the probability that: You get a blue card?[br]
What is the probability that: You get 2 cards of the same color?[br]
What is the probability that: You get 2 cards of different colors?[br]
In a game using five cards numbered 1, 2, 3, 4, and 5, you take two cards and add the values together. If the sum is 8, you win. Would you rather pick a card and put it back before picking the second card, or keep the card in your hand while you pick the second card? Explain your reasoning.

IM 7.8.9 Practice: Multi-step Experiments

A vending machine has 5 colors (white, red, green, blue, and yellow) of gumballs and an equal chance of dispensing each. A second machine has 4 different animal-shaped rubber bands (lion, elephant, horse, and alligator) and an equal chance of dispensing each. If you buy one item from each machine, what is the probability of getting a yellow gumball and a lion band?
The numbers 1 through 10 are put in one bag. The numbers 5 through 14 are put in another bag. When you pick one number from each bag, what is the probability you get the same number?
When rolling 3 standard number cubes, the probability of getting all three numbers to match is [math]\frac{6}{216}[/math]. What is the probability that the three numbers [i]do not[/i] all match? Explain your reasoning.
Write the sample space and tell how many outcomes there are. Event: Roll a standard number cube. Then flip a quarter.
Write the sample space and tell how many outcomes there are. Event: Select a month. Then select 2020 or 2025.
On a graph of the area of a square vs. its perimeter, a few points are plotted. Add some more ordered pairs to the graph.
Is there a proportional relationship between the area and perimeter of a square? Explain how you know.

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