
1.
Starting a new school year, 47% of freshman are taking Algebra, while 20% are taking German. We also know that overall, 60% are taking Algebra or German, or both. What is the probability that a student is taking both Algebra AND German?

2.
In a family, 30% attended college. Also 38% of the family works at a bank. We know that 50% of them attended college or work at a bank, or both. What is the probability that someone from the family went to college AND works at a bank?

3.
In an apartment complex, 50% of people have used the gym. We also know that 29% have used the swimming pool. It turns out that 63% have used one or the other or both. Knowing that, what is the probability that a person used both the gym AND the pool?

4.
One day at a vet's office, 75% of the pets got shots. Meanwhile, 50% of the pets had xrays. Overall, 80% got shots or xrays, or both. What's the probability that a pet got shots AND xrays?

5.
This summer, 81% of days were either rainy or windy (or both). More specifically, 65% of the days were rainy while 24% of the days were windy. So what percent of days were both rainy AND windy?

6.
Each day, there is a 67% chance I will watch something on Hulu. But there is a 50% chance I will watch something on Netflix. Overall, there is a 78% chance I will use one or the other (or both). What is the probability I use Hulu AND Netflix in a day?

7.
At a car dealership, 83% of cars are SUV's. I also noticed that 15% of cars are red. All together, 90% are SUV's or red, or both. That means the probability a car is an SUV and also red is _____.

8.
It turns out that 80% of people exercise by running or riding a bike, or both. Specifically, 65% run while 30% ride a bike. Then what percentage of people both run AND ride a bike?

9.
In my closet, I have a lot of shirts. Overall, 60% are short sleeved, also 60% are white. All together, 79% are short sleeved or white (or both). What is the probability of a shirt being both short sleeved AND white?

10.
On my bookshelf, 56% of the books are horror or short stories, or both. More specifically, 49% are horror, while 20% are short stories. What is the probability a book is both horror AND short stories?

11.
In my algebra class, we know that 18% own a cat while 10% own a dog. Furthermore, 23% own one or the other (or both). What is the probability that a cat owns a cat AND a dog ?

12.
At a recent party, 75% of the people ate a hamburger while 40% ate a hot dog. Then I saw that 97% ate both hamburger or hot dog (or both!). So all together, what percent of people at a hamburger, AND a hot dog?

13.
Looking at my set of nail polishes, 20% are blue and 30% have glitter in them. In addition, 43% are blue OR have glitter in them (or both). What percent of my set of nail polish is blue AND glitter?

14.
A recent survey found the following information: 80% of children enjoy reading, 50% enjoy coloring. Most importantly, 92% enjoy one or the other (or both). What percent enjoy reading AND coloring?

15.
On the first day of school, 40% of students got lost while 50% helped someone else. Also, 65% got lost or helped someone else (or both). What is the probability a student got lost AND helped someone?

16.
At the grocery store, 60% of people spend bought pasta. Also, 27% bought ice cream. Today it turns out that 75% bought both pasta or ice cream (or both). What is the probability that a person in the store bought pasta AND ice cream?

17.
On my husband's list of things to watch this week, 46% are police shows while 59% are documentaries. There is a 70% probability he picks something about police OR a documentary (or both)? There is an overlap though, so how many are documentaries about the police. (meaning documentary AND police)

18.
In a rock band, some members play multiple instruments. Overall, 68% can play the guitar while 30% can play drums. Additionally, the probability that a person can play guitar or drums (or both) is 81. What is the probability a person can play guitar AND drums?

19.
I'm researching houses, and only 30% are all brick, while 49% have a garage. Overall, 71% of houses are brick or have a garage (or both) ? What's the probability that a house is brick AND has a garage?

20.
In a group of high school students, 64% know how to to drive. Overall, 70% of students take the bus to school. We also found out that 84% know how to drive or still take the bus (or both). Knowing that, what percent of students know how to drive AND take the bus?

21.
This summer, 70% of my coworkers went on some sort of vacation. 40% went to a beach, while 55% went to the mountains. What percent of my coworkers went to both the beach AND the mountains?

22.
Two of the best options for staying cool in the summer are air conditioning (AC) and fans. The electric company discovered that 75% of people used their AC, while 23% used fans. Overall, 94% used one or both of those options. What percent used both AC and fans?

23.
All of the people invited to a picnic bring something to share. 60% brought chips, and 30% brought cookies. Altogether, 70% percent brought chips OR cookies OR both. What's the probability a person brought chips AND cookies?

24.
In the US, it's estimated that 66% of the population has brown hair. Also, 43% of people have blue eyes. The percent of the population that has either brown hair, blue eyes, or both is 81%. What percent of people have brown hair AND blue eyes?

25.
I'm looking for a cookie that has chocolate chips, AND oats. In my recipe book, 65% of cookies have chocolate chips while 36% have oats. Overall, 83% have both chocolate chips or oats. What's the probability I find the kind of cookie recipe I want?

26.
In the marching band, 68% are flute players while seniors make up 40% of the band. Looking at a random member, there is a 70% chance that they are a flute player OR a senior, or both. What percent of the band both play the flute AND are seniors?

27.
A deck of playing cards has 52 total cards. Out of these 52 cards, 50% are red, while 7.6% are kings. Additionally, 53.8% of cards are red, OR a king, or both. What percent are red AND king?

28.
During a game where you roll a fair sixsided die, the probability of rolling an even value is 50%, while the probability of rolling a value larger than 4 is 33.3%. Overall, the probability of an even value OR a value larger than 4 (or both) is 66.7%. What is the probability of rolling a value that is even AND larger than 4?

29.
During rush hour, the highway gets really backed up at traffic lights. On one mile of the highway, there are two lights. For a random driver, the probability of stopping at the first light is 60%, while the probability of stopping at the second light is 80%. The probability of stopping at one light OR the other (or both) is 99%. What is the probability a driver has to stop at the first light AND the second light?

30.
A certain apartment complex has options for style and location. 59% of the apartments have blue paint while 20% have a view of the pool. Altogether, 72% have blue paint or a view of the pool (or both). What is the probability an apartment has blue paint AND a view of the pool?