First Comb./Perm.
Mutually Exclusive Events
Dependent vs. Independent Events
Second Comb./Perm.
Mixed Bag
1
What do we type in Desmos to calculate combinations?
nCr
1
Name the only operation (+ - xx-:) that is used in mutually exclusive events?
Addition
1
A bag contains 5 red marbles and 3 blue marbles. You select a red marble then replace it. What is the probability of drawing a blue marble on the second selection?
P(blue marble) = 3/8
Independent Event
1
What do we type in Desmos to calculate permutations?
nPr
1
Give me a good definition for mutually exclusive events.
When two events cannot happen simultaneously.
2
What does "n" refer to?
The total number of possible choices.
2
What is this symbol?
Union
Or
We add probabilities when we see this symbol
2
A bag contains 5 red marbles and 3 blue marbles. You select a red marble and place it on the table. What is the probability of drawing a blue marble on the second selection?
P(blue marble) = 3/7
Dependent Event
2
What does "r" refer to?
The total number of choices that are used/chosen.
2
How can I differentiate between combinations and permutations?
Permutations - ORDER MATTERS
Combinations - Order does NOT matter
3
You can customize a burger with 5 toppings. You get to choose from 13 toppings. How many ways can you customize this burger?
nCr (13,5) = 1287
3
You have 18 fish in a fish tank. 8 are solid colored, 4 are spotted, and 6 are striped.
What is the toal probability that you select a solid fish or a striped fish?
P(solid OR striped) = 8/18 + 6/18 = 14/18
14/18 = 7/9
Mutually Exclusive Event
3
A coin is tossed 17 times. What is the probability of getting heads on the 15th toss?
P(heads) = 1/2
Independent Event
3
How many ways can 10 students fill the student government positions of president, vice president, secretary, and treasurer?
5040
3
What is this?
Permutation Lock
4
There are 20 math teachers at ACHS. How many ways can we select 4 of them to teach AFDA!
nCr (20,4) = 4845
4
On a number wheel with numbers from 1-10, what's the probability of randomly selecting a odd number or a number less than 8?
P(odd OR <8) = 5/10 + 7/10 = 12/10
Non-Mutually Exclusive Event
4
When you leave this class, you make a right. When I leave this class, I also turn right.
What is the probability that I turn right even though you already turned right?
P(I turn right) = 1/2
Independent Event
4
You have 6 places at King Street to eat lunch in the cafeteria. You're sneaky and found a way to eat lunch at 2 different places during your lunch block. How many ways can you select 2 places to eat lunch?
nCr (6,2) = 15
4
You have to read 3 chapters before your next Science class. One chapter has 13 pages, another chapter has 17 pages, and the other chapter has 12 pages. How many ways can you read ANY 2 of those chapters before your next English class?
nCr (3,2) = 3
5
There are two columns in this review labeled "Comb./Perm.". How many ways can we select one review question from these columns?
nPr (10,1) = 10
5
You are driving and come to a 4 way stop. What is the probability that you turn right or left?
1/3+1/3=2/3
We can turn left, right, or go straight for a total of 3 options.
Mutually Exclusive
5
You take a blue ball from the jar. You take a pink ball from the jar. 
P(blue) = 1/5
P(pink) = 1/4
Dependent Event.
5
You forgot the Probability Test is the next class! It covers mutually exclusive events, dependent vs. independent events, permutations, and combinations. You only have time to study 2 sections of the unit. In your study session, how many ways can you study 2 sections.
nCr (4,2) = 6
5
Take a shot for 5 points. No doubling.
