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Open Up - Grade 7 - Mathematics - Unit 8 - Lesson 7

Last updated 11 months ago

9 questions

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Question 1

1.

Priya’s cat is pregnant with a litter of 5 kittens. Each kitten has a 30% chance of being chocolate brown. Priya wants to know the probability that at least two of the kittens will be chocolate brown. To simulate this, Priya put 3 white cubes and 7 green cubes in a bag. For each trial, Priya pulled out and returned a cube 5 times. Priya conducted 12 trials. Here is a table with the results:
How many successful trials were there?

Question 2

2.

Priya’s cat is pregnant with a litter of 5 kittens. Each kitten has a 30% chance of being chocolate brown. Priya wants to know the probability that at least two of the kittens will be chocolate brown. To simulate this, Priya put 3 white cubes and 7 green cubes in a bag. For each trial, Priya pulled out and returned a cube 5 times. Priya conducted 12 trials. Here is a table with the results:
Based on this simulation, estimate the probability that exactly two kittens will be chocolate brown.(answer as a fraction)

Question 3

3.

Priya’s cat is pregnant with a litter of 5 kittens. Each kitten has a 30% chance of being chocolate brown. Priya wants to know the probability that at least two of the kittens will be chocolate brown. To simulate this, Priya put 3 white cubes and 7 green cubes in a bag. For each trial, Priya pulled out and returned a cube 5 times. Priya conducted 12 trials. Here is a table with the results:
Based on this simulation, estimate the probability that at least two kittens will be chocolate brown.(answer as a fraction)

Question 4

4.

Priya’s cat is pregnant with a litter of 5 kittens. Each kitten has a 30% chance of being chocolate brown. Priya wants to know the probability that at least two of the kittens will be chocolate brown. To simulate this, Priya put 3 white cubes and 7 green cubes in a bag. For each trial, Priya pulled out and returned a cube 5 times. Priya conducted 12 trials. Here is a table with the results:
Write and answer another question Priya could answer using this simulation.

Question 5

5.

Priya’s cat is pregnant with a litter of 5 kittens. Each kitten has a 30% chance of being chocolate brown. Priya wants to know the probability that at least two of the kittens will be chocolate brown. To simulate this, Priya put 3 white cubes and 7 green cubes in a bag. For each trial, Priya pulled out and returned a cube 5 times. Priya conducted 12 trials. Here is a table with the results:
How could Priya increase the accuracy of the simulation?

Question 6

6.

A team has a 75% chance to win each of the 3 games they will play this week. Clare simulates the week of games by putting 4 pieces of paper in a bag, 3 labeled “win” and 1 labeled “lose.” She draws a paper, writes down the result, then replaces the paper and repeats the process two more times.

Clare gets the result: win, win, lose. What can Clare do to estimate the probability the team will win at least 2 games?

Question 7

7.

List the sample space for selecting a letter a random from the word “PINEAPPLE.”

Question 8

8.

A letter is randomly selected from the word “PINEAPPLE.”

Which is more likely, selecting “E” or selecting “P?”

E

P

Question 9

9.

On a graph of side length of a square vs. its perimeter, a few points are plotted.
Add at least two more ordered pairs to the graph.(Show Your Work)

Is there a proportional relationship between the perimeter and side length? (Multiple Choice)

Yes, there is a proportional relationship between side length and perimeter.

No, there is a no proportional relationship between side length and perimeter.

"Source: Open Up Resouces (Download for free at openupresources.org.)"