FCP
nPr and nCr
And Prob.
Or Prob.
Dank Memes
100
Griffin is hungry. He decides to make a sandwich, so raids his fridge to see what he has available. He found 3 types of bread, 2 types of cheeses, 4 types of deli meat, 3 types of veggies, and 5 types of sauces. How many sandwiches can he make?
360 sandwiches
100
Formula for permutation
n!/(n-r)!
100
Anna is shopping at a bakery. The owner offers Anna a cookie from a jar containing 22 chocolate chip cookies, 18 sugar cookies, and 15 oatmeal raisin cookies. Without looking, Anna selects one, drops it back in, then randomly selects another. What is the probability that neither of the cookies selected was chocolate chip?
9/25
100
A card is drawn at random from an ordinary pack of 52 playing cards. Find the probability that the card is a king or a queen.
(4/52)+(4/52)=8/52 or 2/13
100
Finish the following quote: "My disappointment is immeasurable and_____________________"
my day is ruined
https://www.youtube.com/watch?v=17KmNrG9pE4&ab_channel=Mortienus
200
Anna's managed to get her hands on a few million dollars (don't ask how) and decides to buy herself some property. She can buy a penthouse, townhouse, condo, single-family house, ranch-style, chateau, Victorian mansion, or a colonial mansion in any of the 50 states. How many possible choices can she make?
400 choices
200
Formula for combination
n!/((n-r)!r!)
200
Griffin decides to go on a 3-day vacation to K2. A long-range forecast reports that the probability of rain each day is 10%. Assuming that the day probabilities of rain are independent, what is the probability that there is no rain during the first two days, but that it rains on the third day?
81/1000
200
A card is drawn at random from an ordinary pack of 52 playing cards. Find the probability that the card is a spades or a 3
(13/52)+(4/52)=17/52
200
Who said the following quote, "Do you like jazz?"
Barry the Bee
300
Jack just so happens to marry filthy rich and becomes a happy househusband so he can work on his experiments. He's got a budget to buy a bird, a plane, and become Batman. He's got 25 birds and 10 planes to choose from. How many ways can he mix-n-match from his options?
250 ways
300
Griffin decides to rank his top 3 dictators throughout history. There are 213 known dictators. In how many ways can he rank his top 3?
9,537,916
300
Jack shoves his hand into a random box in a dark basement. In the box, there are 17 centipedes, 8 spiders, 14 worms, and 21 cockroaches. He takes out one bug, puts it in his pocket and takes out another bug from the box. What is the probability that he takes out a worm, then a centipede?
(14/60)(17/59)=0.0672316384
(about 6.723%)
300
11 cards numbered 11 through 21 are placed in a box. A card is removed at random from the box. Find the probability that the number on the card is either even or divisible by 3.
even: 12, 14, 16, 18, 20
divisible by 3: 12, 15, 18, 21
overlap: 12, 18
P(even)+P(divisible by 3)-P(overlap)=(5/11)+(4/11)-(2/11)=7/11
300
What does the Roblox death sound sound like?
"Oof"
400
Alex was ravenous for some cheap ramen. But since she is a grade-A chef, she can amp up the ramen with various toppings. There are 9 ramen flavors, 8 meats, 17 veggies, and 26 miscellaneous toppings she can choose from. Since she is poor, she can only pick one from each category. How many types of ramen bowls can she make?
31,824 ramen bowls
400
Jack wanted to immerse himself in the "all-American" experience and wrote a letter to the department of defense. They were so moved by his love for the country that they allowed him to keep 3 weapons of his choice out of the 432 possible options. How many ways can he pick the three weapons?
13,343,760
400
Alex decides to confiscate all the phones in Beekman. She has 34 iPhones, 22 Samsungs, and 15 Nokias. What is the probability that she takes out an iPhone followed by another iPhone (without replacement)?
(34/71)(33/70)=0.2257545272
(about 22.575%)
400
A bag contains 7 red counters, 5 green counters, and 3 blue counters. A counter is selected at random from the bag. What is the probability of selecting a green or blue counter?
(5/15)+(3/15)=8/15
400
What is the name of this overused frog:
Pepe the Frog
500
What is the definition of the fundamental counting principle?
It's a way of finding how many possibilities can exist when combining choices, objects, or results. It is done by multiplying the total choice count from each group being combined.
500
A box contains three white balls, four black balls, and three red balls. The number of ways in which three balls can be drawn from the box so that at least one of the balls is black is
100
1 black and 2 others: (4C1)(6C2)=60
2 black 1 other: (4C2)(6C1)=36
All 3 are black: (4C3)=4
500
Anna, Griffin, and Jack decide to showcase their probability skills at a casino in Vegas. They play a card game where if all of them pick an ace, they win a million dollars. Anna picks first, then Griffin, then Jack. What is the probability of them all picking an ace?
(4/52)(3/51)(2/50)=0.0001809954751
(about 0.0181%)
500
Suppose that 65% of students surveyed like diet coke, and 77% like dark chocolate. 57% like both. What is the probability as a percent that a student randomly selected will like diet coke OR dark chocolate?
P(diet coke)+P(dark chocolate)-P(both)=65+77-57=85%
500
"I smell like ________________"
beef