Lesson 2
Chance Experiments
Let’s investigate chance.
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.
Problem 2
Different events have the following likelihoods. Sort them from least to greatest:
60%
8 out of 10
0.37
20%
\(\frac{5}{6}\)
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.
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.
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.](https://cms-im.s3.amazonaws.com/AyJBjYXcNC9msufHH1uz4PP4?response-content-disposition=inline%3B%20filename%3D%227-7.7.newPP.birdhouseinyoursoul2.png%22%3B%20filename%2A%3DUTF-8%27%277-7.7.newPP.birdhouseinyoursoul2.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240726%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240726T232736Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=26553578e1f6341e70278a47a5481be1a2c197eb89b278c83e53e22975a9b3c3)
Problem 6
Select all the situations where knowing the surface area of an object would be more useful than knowing its volume.
Placing an order for tiles to replace the roof of a house.
Estimating how long it will take to clean the windows of a greenhouse.
Deciding whether leftover soup will fit in a container.
Estimating how long it will take to fill a swimming pool with a garden hose.
Calculating how much paper is needed to manufacture candy bar wrappers.
Buying fabric to sew a couch cover.
Deciding whether one muffin pan is enough to bake a muffin recipe.