Compound Events
This term describes an event made by combining two or more individual events.
What is a compound event
A student has 3 shirts and 2 pairs of pants. How many different outfits can be created?
What are 6 outfits
Evaluate 6!
What is 720
A fair coin is flipped and a six-sided die is rolled. What is the probability of flipping heads and rolling a 6?
What is 1/12
A coin is flipped and a six-sided die is rolled. How many total outcomes are in the sample space?
What are 12 outcomes
A restaurant offers 4 entrées, 3 sides, and 2 drinks. How many different meals can be created by choosing one of each?
What are 24 meals
Alex wants to eat four different State Fair foods. How many different orders can he eat all four foods in?
What is 24 orders
A bag contains 4 red and 6 blue marbles. A marble is selected, replaced, and another is selected. What is the probability of selecting two red marbles?
What is 4/25
You spin a four-section spinner, flip a coin, and roll a six-sided die. How many total outcomes are possible?
What are 48 outcomes
A password contains two letters followed by one digit. There are 5 possible letters and 10 possible digits. Repetition is allowed. How many passwords are possible?
What are 250 passwords
Seven students stand in a line. How many different line orders are possible?
What is 5,040 orders
The same bag contains 4 red and 6 blue marbles. This time, the first marble is not replaced. What is the probability of selecting two red marbles?
What is 2/15
Two coins are flipped and a six-sided die is rolled. How many outcomes contain exactly one head and an even number?
What are 6 outcomes
A sandwich shop offers 4 breads, 6 meats, and 5 cheeses. A customer may choose one cheese or no cheese. How many sandwiches are possible?
What are 144 sandwiches
Eight finalists compete for gold, silver, and bronze medals. How many different medal results are possible?
What is 336
A bag contains 5 green, 4 blue, and 3 yellow candies. Without replacement, what is the probability of selecting green, then blue, then yellow?
What is 3/10
You spin a spinner numbered 1–4, flip a coin, and roll a six-sided die. What is the probability of spinning a number greater than 2, flipping tails, and rolling a multiple of 3?
What is 1/12
A code contains 3 different letters selected from A–F, followed by 2 digits. Letters cannot repeat, but digits can. How many codes are possible?
What are 12,000 codes
Nine students are available to sit in four distinct front-row seats. How many different seating arrangements are possible?
What is 3,024
A bag contains 8 red, 5 blue, and 2 green marbles. Without replacement, what is the probability of selecting red, then a marble that is not red, and then red?
What is 28/195