What is the difference between permutations and combinations?
Permutations care about order but combinations do not.
100
What is the formula for P(A or B)?
P(A or B) = P(A) + P(B) - P(A and B)
100
What is the formula for P(A|B)?
P(A|B) = P(A and B) / P(B)
100
Michelle would like to study for five tests. She has three hours to study and wants to spend an hour for each test. Michelle also considers that she will get tired as the session goes on. How many possible study plans are there?
There are 60 study plans
200
What is the probability that a twelve-sided die lands on a 7?
1/12
200
What is the permutations formula?
P(n, r) = n! / (n - r)!
200
What is the formula for P(Not E)?
P(Note E) = 1 - P(E)
200
Calculate P(A and B) given that P(A|B) = 0.4 and P(B) = 0.5
P(A and B) = 0.2
200
Mario wants to watch 3 Disney animated movies from a collection of 10. What is the probability that "Oliver and Company" is one of the three movies he chooses?
3/10
300
What is the probability that a card from a regular playing deck is an Ace?
1/13
300
What is the combinations formula?
(n r) = n! / (n - r)!r!
300
What are Mutually Exclusive Events?
Events that cannot happen at the same time
300
Define Independent Events
Independent Events are those that do not affect the probability of the other occurring.
300
Find the probability that a randomly drawn card from a deck of regular playing cards is a diamond or a face card.
25/52 = 0.4808
400
Define Sample Space and Event Space
Sample Space is the set of all outcomes. Event Space is the set of all successes for a particular event
400
When are we allowed to use the multiplication rule?
When the choice of one event does not affect the options of another
400
Create the Venn diagram for two mutally exclusive events
There should be no overlap between the circles
400
What two (2) ways are there to tell if two events are independent?
If P(A)*P(B) = P(A and B)
Or P(A) = P(A|B)
Then A and B are independent events
400
There are 10 marbles in a bag, 6 red and 4 blue. What is the probability of drawing a blue marble and then a red marble?
6/25
500
Explain the difference between Experimental and Theoretical Probability
Experimental Probability is found after performing an experiment to find likelihood of an event. Theoretical Probability is the probability that is calculated using the methods learned in class.
500
How many ways are there to permute 3 items from 11? How many combinations of 3 items from 11 are there?
990; 165
500
Out of 15 students, 7 own a dog, 6 own a cat, and 3 own both. Create a Venn diagram illustrating this.
In "Owns Dog" category: 4; in "Owns Cat" category: 3; in "Owns Both" category: 3; in "Owns Neither" category: 5.
500
There are five marbles in a bag: 3 green and 2 yellow. You remove one and then a second. Create a tree diagram illustrating this.
5 total
/ \
draw g draw y
/ \ / \
draw g draw y draw g draw y
500
Two dice are rolled. What is the probability that the second die lands on 5 given that the second die landed on 3?