Basic Probability (one thing)
Venn Diagram
Two Way Table
Conditional
Back-to-Back Events
100
When flipping a coin 2 times in a row and then rolling one die, how many possible outcomes are there in the sample space?
2 x 2 x 6 = 24
100
A teacher has a Tiktok account and they want to look at their viewership data. They found that only 13% of their viewers live in the local area. They also found that 72% of their viewers are between the ages of 15-18. Amidst this data, they realized that 4% of their viewers are local high school students between the ages of 15-18. When choosing a viewer at random, what is the probability that they are between the ages of 15-18, but not local?
68/100 = 68%
100
P(High School and Tiktok)
120/300 = 2/5
100
P(use Tiktok given they are a high school student)
120/180 = 2/3
100
You are drawing two cards from a standard deck. Find the probability that you draw a king first and then you draw a face card second.
4/52 x 11/51 = 11/663
200
In a bag of marbles, there are 7 blue marbles, 5 green marbles, 6 yellow marbles, and 3 red marbles. When you randomly pick up one marble, what is the probability of picking up a blue or yellow marble?
13/21
200
A teacher has a Tiktok account and they want to look at their viewership data. They found that only 13% of their viewers live in the local area. They also found that 72% of their viewers are between the ages of 15-18. Amidst this data, they realized that 4% of their viewers are local high school students between the ages of 15-18. When choosing a viewer at random, what is the probability that they are not local and not between 15-18?
19/100 = 19%
200
P(College or Snapchat)
120 + 140 - 80 = 180/300 = 3/5
200
You are drawing a card from a standard deck. Find the probability that you draw a king given that it was a spade.
1/13
200
You are drawing two cards from a standard deck and you are putting the card back in the deck after each draw. Find the probability that you draw a red card first and then draw a 7.
26/52 x 4/52 = 1/26
300
When drawing one card from a deck of cards, what is the probability of drawing a king or a red card?
4/52 + 26/52 - 2/52 = 28/52 = 7/13
300
An online survey asked people to pick between Chick-fil-a and Zaxbys. 200 people responded to the survey in total. 119 of them eat Chick-fil-a, 93 of them eat Zaxbys, and 49 people eat both chick-fil-a and Zaxbys. What is the probability that a random person eats Chick-fil-a, but NOT Zaxbys?
70/200 = 7/20
300
P(not Tiktok)
140/300 = 7/15
300
You are drawing a card from a standard deck. Find the probability that it was an even card, given that it was red.
10/26 = 5/13
300
You are rolling a die and flipping a coin in sequence. Find the probability that you first flip heads, then roll a 4, and then lastly roll an even number.
1/2 x 1/6 x 3/6 = 1/24
400
When rolling two dice together, what is the probability of rolling a sum of 4?
3/36 = 1/12
400
An online survey asked people to pick between Chick-fil-a and Zaxbys. 200 people responded to the survey in total. 119 of them eat Chick-fil-a, 93 of them eat Zaxbys, and 49 people eat both chick-fil-a and Zaxbys. What is the probability that a random person does not eat at either restaurant?
37/200
400
P(High school or Tiktok)
180+160 - 120 = 220/300 = 11/15
400
P(picking a college student given that they use snapchat)
80/140 = 4/7
400
The likelihood of it raining on a random Fall day is 27%. Find the probability that it rains three days in a row.
.27 x .27 x .27 = 0.0197
(about a 2% chance)
500
When drawing one card from a deck of cards, what is the probability of drawing an even numbered card?
20/52 = 5/13
500
An online survey asked people to pick between Chick-fil-a and Zaxbys. 200 people responded to the survey in total. 119 of them eat Chick-fil-a, 93 of them eat Zaxbys, and 49 people eat both chick-fil-a and Zaxbys. What is the probability that a random person only eats at exactly one of the two restaurants?
70/200 + 44/200 = 114/200 = 57/100
500
P(not High School and not Snapchat)
40/300 = 2/15
500
You are rolling two dice. Find the probability that one of the dice rolled a 3 given that the sum of the two dice is 5.
2/4 = 1/2
500
There is a cooler full of drinks. In this cooler, there are 10 orange flavored drinks, 8 grape flavored drinks, and 12 lemon flavored drinks. Find the probability that the next 3 people who grab a drink all grab grape flavored drinks.
8/30 x 7/29 x 6/28 = 2/145
(or 0.01379 so about a 1% chance)