The non-specific physical acts completed in a scenario.
What is an action?
You write the letters A-K on index cards. Then you choose a card at random. The probability of choosing a vowel.
What is 3/11?
A jewelry store sells gold and platinum rings. Each ring is fitted with a ruby, sapphire, emerald, or diamond gemstone.
What is 8?
You flip a coin 3 times. The probability of it landing on heads the first two times AND tails the third time.
What is 1/8?
On the day of the weekly lunch special, you get a free drink and a free piece of fresh fruit. The drink choices are lemonade, iced tea, and milk. The fruit choices are banana, orange, and apple. You want to know the probability of choosing milk and a banana at random.
Identify the actions.
What are choosing a drink and choosing a fruit?
What is a sample space?
A spinner has 12 equal sections labeled 1-12. You spin the spinner one time. The probability of landing on a number greater than 7.
What is 5/12?
A spinner can land on red, blue, or green. You spin twice.
What is 9?
You flip a coin three times. The probability of it landing on heads the first time AND tails the third time.
What is 1/4?
On the day of the weekly lunch special, you get a free drink and a free piece of fresh fruit. The drink choices are lemonade, iced tea, and milk. The fruit choices are banana, orange, and apple. You want to know the probability of choosing milk and a banana at random.
Identify the outcomes of each action.
What are lemonade, iced tea, and milk?
What are bananas, oranges, and apples?
This lists the possible outcomes and the probability for each outcome.
What is a probability model?
There are 30 marbles in a bag. Half of which are blue. You choose a marble at random.
1. The probability of choosing a blue marble.
2. The probability of choosing a marble that isn't blue.
1. What is 1/2?
2. What is 1/2?
Six books need to be placed on a shelf. You randomly arrange the books on the shelf from left to right.
What is 720?
There are 6 socks in a drawer. 2 yellow, 3 green, and 1 red. You grab one sock out, replace it, and grab another.
The probability of grabbing a green sock first OR a yellow sock second.
What is 2/3?
On the day of the weekly lunch special, you get a free drink and a free piece of fresh fruit. The drink choices are lemonade, iced tea, and milk. The fruit choices are banana, orange, and apple. You want to know the probability of choosing milk and a banana at random.
The type of sets that the outcomes of each action form.
What are disjoint sets?
If action A can occur in m ways and for each of these m ways action B can occur n ways, then actions A and B can occur m * n ways.
What is the Counting Principle?
Among the students in a class 10 ride the bus, 3 walk, and 5 drive a car to school. You choose a student at random.
1. The probability of choosing a student who walks.
2. The probability of choosing a student who does not walk.
1. What is 1/6?
2. What is 5/6?
You roll a normal dice two times.
What is 36?
There are 6 socks in a drawer. 2 yellow, 3 green, and 1 red. You grab two socks out at the same time.
The probability of grabbing a green sock and a red sock.
What is 1/10?
On the day of the weekly lunch special, you get a free drink and a free piece of fresh fruit. The drink choices are lemonade, iced tea, and milk. The fruit choices are banana, orange, and apple. You want to know the probability of choosing milk and a banana at random.
Identify the events described.
What is choosing milk and choosing a banana?
The probability that Event A occurs or Event B occurs is the probability that Event A occurs plus the probability that Event B occurs minus the probability that both Events A and B occur.
P(A or B) = P(A) + P(B) - P(A and B)
What is the Addition Rule for Probability?
You have 5 quarters, 2 dimes, 3 nickels, and 6 pennies. You choose a coin at random.
1. The probability of choosing a coin worth more than 5 cents.
2. The probability of choosing a coin worth less than 5 cents.
1. What is 7/16?
2. What is 3/8?
There are 25 students in your class. The teacher chooses 3 at random.
What is 13,800?
There are 6 socks in a drawer. 2 yellow, 3 green, and 1 red. You grab two socks out simultaneously.
The probability of grabbing a green sock first OR a yellow sock second.
What is 19/30?
On the day of the weekly lunch special, you get a free drink and a free piece of fresh fruit. The drink choices are lemonade, iced tea, and milk. The fruit choices are banana, orange, and apple. You want to know the probability of choosing milk and a banana at random.
Identify if the events are independent or dependent.
What is independent?