Simple
Compound
Experimental vs. Theoretical
Counting Principle
Biased v. Unbiased Samples
100

You flip a coin. What is the probability it lands on heads?

1/2

100

You roll a die and flip a coin. What is the probability of getting a 4 and heads?

1/12

100

A spinner has 5 equal sections (red, blue, green, yellow, orange). What is the theoretical probability of landing on green or yellow?

2/5

100

A restaurant offers 3 drinks and 4 meals.
How many different drink-meal combos can you order?

12

100

A teacher surveys her first-period class to find out the school’s favorite lunch.
Is this sample biased or unbiased?

Biased — it only includes one class, not the whole school.

200

A bag contains 3 red marbles and 5 blue marbles. What is the probability of picking a red marble?

3/8

200

A bag has 6 green and 4 yellow marbles. You draw one, replace it, and draw again. What is the probability of getting green both times?

9/25

200

The same spinner is spun 40 times. It lands on green 6 times and yellow 12 times. What is the experimental probability of landing on green or yellow?

9/20

200

You have 2 shirts and 3 pairs of pants.
How many different outfits can you make?

6

200

A school wants to know students’ favorite sport.
They randomly select 20 students from each grade level to ask.
Is this an unbiased or biased sample?

Unbiased — it represents all grade levels fairly.

300

You roll a standard six-sided die. What is the probability of rolling a number greater than 4?

1/3

300

A jar has 3 red, 4 green, and 5 blue marbles. If you draw two marbles without replacement, what is the probability you get one red and one blue?

5/44

300

Based on the experiment (orange landed on 5 out of 40 spins), how many times would you expect it to land on orange in 500 spins?

63 times

300

3 breads, 5 meats, and 2 cheeses.
How many different sandwiches can you make if you pick one of each?

30

300

In a survey of 50 students, 12 said they bring lunch from home.
Predict how many out of 400 students in the school bring lunch.

96 students

400

 If you choose a month of the year at random, what is the probability of getting a month that ends in Y?

1/3

400

A bag has 5 blue and 3 red marbles. You draw one without replacement, then draw another. What is the probability both are blue?

5/14

400

If the spinner is spun 500 times, how many times would you theoretically expect it to land on orange?

100 times

400

A password has 3 letters followed by 2 digits.
If no letters or digits repeat, how many different passwords are possible?

1,404,000

400

A store manager asks only morning shoppers if they like the new checkout system.
Explain why this sample might be biased.

It leaves out afternoon and evening shoppers who might have different opinions.

500

You draw one card from a standard deck. What is the probability it’s a heart or a face card?

11/26

500

You spin a spinner with 5 equal sections labeled A, B, C, D, E. You spin twice. What is the probability you get a vowel both times?

4/25

500

Two students each spun a 5-section spinner 40 times. Student A got blue 10 times. Student B got blue 6 times. Theoretical probability of blue = 1/5. Whose results were closer to the theoretical probability?

Student A

500

A license plate has 2 letters followed by 3 digits.
How many possible plates are there if letters and digits can repeat?

6,760,000

500

A poll of 80 households found that 18 have a pet dog.
Estimate how many households out of 1,200 in the town have a dog.

270 households

M
e
n
u