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

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Last updated about 2 years ago
9 Questions
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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?
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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)
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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)
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1
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.
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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?
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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?
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7.
List the sample space for selecting a letter a random from the word “PINEAPPLE.”
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8.
A letter is randomly selected from the word “PINEAPPLE.”

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