Lesson 2

Chance Experiments

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Problem 1

The likelihood that Han makes a free throw in basketball is 60%. The likelihood that he makes a 3-point shot is 0.345. Which event is more likely, Han making a free throw or making a 3-point shot? Explain your reasoning.

Solution

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Problem 2

Different events have the following likelihoods. Sort them from least to greatest:

60%

8 out of 10

0.37

20%

\(\frac{5}{6}\)

 

Solution

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Problem 3

There are 25 prime numbers between 1 and 100. There are 46 prime numbers between 1 and 200. Which situation is more likely? Explain your reasoning.

  • A computer produces a random number between 1 and 100 that is prime.

  • A computer produces a random number between 1 and 200 that is prime.

Solution

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Problem 4

It takes \(4\frac38\) cups of cheese, \(\frac78\) cups of olives, and \(2\frac58\) cups of sausage to make a signature pizza. How much of each ingredient is needed to make 10 pizzas? Explain or show your reasoning.

Solution

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(From Unit 4, Lesson 2.)

Problem 5

Here is a diagram of a birdhouse Elena is planning to build. (It is a simplified diagram, since in reality, the sides will have a thickness.) About how many square inches of wood does she need to build this birdhouse?

diagram of birdhouse with dimensions provided. 

 

Solution

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(From Unit 7, Lesson 16.)

Problem 6

Select all the situations where knowing the surface area of an object would be more useful than knowing its volume.

A:

Placing an order for tiles to replace the roof of a house.

B:

Estimating how long it will take to clean the windows of a greenhouse.

C:

Deciding whether leftover soup will fit in a container.

D:

Estimating how long it will take to fill a swimming pool with a garden hose.

E:

Calculating how much paper is needed to manufacture candy bar wrappers.

F:

Buying fabric to sew a couch cover.

G:

Deciding whether one muffin pan is enough to bake a muffin recipe.

Solution

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(From Unit 7, Lesson 15.)