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IM 7.8.9 Lesson: Multi-step Experiments

Autore:GeoGebra Classroom Activities, IM 6 – 8 Math

Is the equation true or false? Explain your reasoning.

The other day, you wrote the sample space for spinning each of these spinners once.

What is the probability of getting: Green and 3? 

What is the probability of getting: Blue and any odd number?

Any color other than red and any number other than 2?

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: What is the probability of getting tails and a 6? Be prepared to explain your reasoning.
Use one of the three structures (list, table, or tree) to use to answer the question: What is the probability of getting heads and an odd number? Be prepared to explain your reasoning.

Suppose you roll two number cubes. What is the probability of getting: Both cubes showing the same number?

Suppose you roll two number cubes. What is the probability of getting: Exactly one cube showing an even number?

Suppose you roll two number cubes. What is the probability of getting: At least one cube showing an even number?

Suppose you roll two number cubes. What is the probability of getting: Two values that have a sum of 8?

Suppose you roll two number cubes. What is the probability of getting: Two values that have a sum of 13?

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. 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)?

What is the probability that: You get a black card (either time)?

What is the probability that: You do not get a black card (either time)?

What is the probability that: You get a blue card?

What is the probability that: You get 2 cards of the same color?

What is the probability that: You get 2 cards of different colors?

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.

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