Main idea: Experimental and theoretical probability
1. Fill in the blanks to compare experimental and theoretical probability.

If you know all of the possible outcomes of a trial, and all outcomes are equally likely, you can calculate the _______________ probability of a certain event.
The theorical probability of a coin landing on heads is _____%.
You can estimate probability by doing an _______________.
Experimental probability is also called _______________ probability.

2. Fill in the blanks to describe using probability experiments to estimate an unknown probability.

To estimate an unknown probability, _______________ the number of successful trials by the _________________________ of trials.
The more trials you perform, the more _______________ the _______________ tends to be.

3. Complete the steps to show how to estimate probabilities by repeating trials.

4. Anna does not know what colors of blocks are in a bag. She selects a block out of the bag, records its color, and replaces it in the bag. She repeats the process for a total of 50 trials, and then summarizes her data. Find P(yellow), the probability of choosing a yellow block.

Color
Green
Blue
Yellow
Number
18
22
10
Identify successful outcomes as choosing a _______________ block.
Of the 50 trials, _____ were successes.
Based on the data, the estimated probability of choosing yellow is _____. In simplest form, P(yellow) = _____.


Main idea: Conducting experiments
5. Complete the steps to estimate probabilities based on experimental data for this problem.

Marci made a 10-sided object and wrote a number from 0 to 9 on each face. She is not sure all the sides are equal in size, so she doesn't know the probability of rolling each number.

The sample space:
This tally table shows the data Marci collected from 10 rolls of her 10-sided object. Each mark represents one roll of that number. Fill in the estimated probability for each event based on the data after 10 rolls.


Estimated probabilities after 10 rolls
Rolled a:
0
1
2
3
4
5
6
7
8
9
Number of times


Probability







This table shows the data Marci collected from 100 rolls of her 10-sided object. Fill in the estimated probability for each event based on the data after 100 rolls.


Estimated probabilities after 100 rolls
Rolled a:
0
1
2
3
4
5
6
7
8
9
Number of times
6
14
7
13
9
11
8
12
11
9
Probability







Main idea: Estimating probability with relative frequency
6. Barry made four out of five free throws. Complete the table and answer the questions about the relative frequency of free throws made.


Free throws made
Free throws tried
Relative frequency








What is the estimated probability that Barry will make his next free throw? How likely is he to make the shot?





7. Complete the sentences to describe using relative frequency tables to estimate probability.

The probability of an event can be estimated by finding the ____________________ of the event.
The relative frequency is the number of times a(n) _______________ occurs divided by the number of observations.


Main idea: Using probability to approximate frequency
8. Tamara and her sister play a game using a spinner. A typical game involves 136 spins. The probability of spinning each color is . About how many times should Tamara expect the spinner to land on yellow? Let x represent the number of times the spinner lands on yellow.