Terms
Factorials and PN
Probabilities
Notations (don't solve)
Solve
100
Events that cannot happen at the same time
Mutually exclusive events
100
Write the factorial or PN for (3)(2)(1).
3!
100
What is the probability that you'll spin an even number? Show you answer as a reduced fraction.
P(even)
3/6 or 1/2
100
Write the notation:
What is the probability that I will choose a RED skittle from my bag that contains 3 red skittles, 5 yellow, 4 purple, and 2 orange?
P(red)
100
The coffee shop offered hot or cold coffee,
light, medium, or dark roast,
and chocolate or caramel drizzle.
How many different combinations are available?
(2)(3)(2) = 12
200
The branch of math in which data is collected and studies
Statistics
200
Write the factorial or PN for (16)(15)(14)(13)
16P4
200
What is the probability that you will spin
a 6 and then a 3?
a
P(6) x P(3)
1/6 x 1/6 = 1/6
200
What is the probability that I will choose a RED skittle, replace it, and then a yellow skittle from my bag that contains 3 red skittles, 5 yellow, 4 purple, and 2 orange?
P(red) x P(yellow)
200
Let's go on a cruise! We get to choose from these options:
Destination: Bahamas, the Caribbean, or Mexico
Food Plans: all you can eat, candy only, or healthy food only
Activity packages: lazy package or wild package
Room options: balcony, small window, or no window
How many different combinations are there?
(3)(3)(2)(3) = 54
300
Events that can happen at the same time but do not affect each other
Independent events
300
I have 9 students in my Pre-Algebra class. In how many different orders can they be lined up against the wall for a group picture?
Show the notation and solve it.
9! or 362,880
300
What is the probability that you will spin an odd number and then a 4?
P(odd) x P(4)
3/6 x 1/6 = 3/36 or 1/12
300
Write the notation:
What is the probability that I will choose a yellow or an orange skittle from my bag that contains 3 red skittles, 5 yellow, 4 purple, and 2 orange?
P(yellow) + P(orange)
300
I bought some things from the chocolate shop: a chocolate covered strawberry, a chocolate-covered marshmallow, a dark chocolate turtle, and a chocolate covered peanut.
How many different orders can I eat them?
4!
(4)(3)(2)(1) = 24
400
Two or more events in the same problem
Compound event (or compound probability)
400
The Canes basketball team has 12 players. The coach needs to pick 5 starters. How many possibilities are there?
Show the notation and solve it.
12P5
(12)(11)(10)(9)(8) = 95,040
400
Shiloh has 5 guitars:
a red, a blue, a black, and 2 grays.
What's the probability of her grabbing the red guitar, NOT replacing it, and then grabbing the black guitar?
P(r) x P(black after the first grab)
P(1/5) x P(1/4) = 1/20
400
Write the notation:
A jar contains the letters of the words ICE CREAM.
What's the probability of drawing a C and then an M, and then an R?
P(c) x P(m) x P(r)
400
Each letter from the word MISSISSIPPI is put in a hat.
What's the probability of drawing the letter S, not replacing it, and then drawing the letter I?
P(s) x P(i after 1st draw)
4/11 x 4/10 = 16/110 = 8/55
500
TRIVIA: take it or pass????
Who is the current host of the TV gameshow Jeopardy?
500
Kayla recorded 7 episodes of her favorite TV show. How many different orders could she watch them all?
Show the notation and the answer.
7!
(7)(6)(5)(4)(3)(2)(1) = 5,040
500
JingHui has a food stash with 3 chocolates, 4 chewy candies, and 4 pieces of fruit.
What's the probability of grabbing a chocolate, eating it, and then grabbing a piece of fruit?
P(choc) x P(choc after 1st draw)
3/11 x 4/10 = 12/110 = 6/55
500
Write the notation:
A jar contains the letters of the words ICE CREAM.
What's the probability of drawing a C or a vowel?
P(c) + P(vowel)
500
Each letter from the work MISSISSIPPI is put into a hat.
What's the probability of not drawing a P?
9/11