Conditional Probability
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- What is Conditional Probability? Conditional probability is the chance that one thing happens (AAA), assuming that another thing (BBB) also happens. That's usually written as P(…
By Cassie Taylor, Sarah Walker
- The concept of conditional probability is based on the interpretation of a concept of knowledge-based probability. As was mentioned before, in the absence of any information abo…
By Zor Shekhtman, Ruiran Xun
- The conditional probability, usually denoted P(A∣B)P(A|B)P(A∣B) (where AAA and BBB are distinct events) is probability's way of dealing with situations where we have knowledge a…
By Tom Vielott, Alex Federspiel
- (Video) How to Calculate Conditional Probability by Statistics Fun Statistics Fun has a good video explaining how to calculate conditional probability.
By Ben Ferrara, Alex Federspiel
- What is conditional probability? When we talk about conditional probability, we are talking about the probability of event B occurring given that event A has already occurred. T…
By Hannah Bonville, Alex Federspiel
- In a standard deck of cards there are 52 cards, 26 red cards and 26 black cards. Let's say we choose the four of diamonds. What are the chances of that happening? Well since the…
By Victoria Rodriguez, Alex Federspiel
Problems 21
- Find P(Rolling a 3∣Body)P(\text{Rolling a }3|\text{Body})P(Rolling a 3∣Body)
- Which of the following notations is read as "The probability of A given B."
- Determine if the following events are independent or dependent: Sarah picks one card from a deck, an ace, returns it (to a random place in the deck) and then draws a king from t…
- There are six sides to a normal dice. Sarah decides to roll the dice twice. What are the chances of the first roll being an odd number (event A) and the second roll landing on a…
- True or False\text{True or False}True or False === In conditional probability, P(A∣B)=P(B∣A)P(A|B)=P(B|A)P(A∣B)=P(B∣A) is always true (for any two events AAA and BBB).
- Using the data in the two way table above, find the conditional probability that someone will choose purple as their favorite color given they are a female.
- Alex took two exams. The probability of him passing the first exam is 0.8. The probability of him passing both exams is .75. What is the probability of passing the second exam g…
- Sam asked 100 people which of the dogs listed above is their favorite. The results of the survey are shown above. After taking the survey a friend asked Sam if it is more likely…
- The probability of it raining in Sunnytown two days in a row is 0.50 and the probability of it raining one day is 0.60. In Sandville the probability of it raining two days in a …
- If P(A∣B)=0.84P(A|B)=0.84P(A∣B)=0.84 and P(B)=0.7P(B)=0.7P(B)=0.7. What is P(A∩B)P(A \cap B)P(A∩B)?
- Anna has a ten-sided dice which she uses to play a card game. Anna has two chances to roll the dice. What are the chances of the first roll being an odd number (event A) and the…
- A standard English Scrabble game includes 100 letter tiles and 2 blank tiles. If there are two MMM tiles and one JJJ tile, what is the probability of drawing a JJJ tile if you'v…
- Using the data in the two way table above, find the conditional probability that someone will choose pink as their favorite color given they are a male.
- A survey on New Year's resolutions was conducted. Of those surveyed, 39,000 people who attempted New Year's resolutions were in their 20's. Also, 17,500 people that attempted Ne…
- A survey of student athletes was conducted in order to see how many students play multiple sports. The study found that 27% of student athletes play both football and baseball a…
- About 20% of people in the United States speak two or more languages. 11% of people in the US speak both Spanish and English. What is the probability that a randomly selected bi…
- The table above displays the results of a survey conducted among 100 students on which super power they would like to have. If a random student was chosen out of those surveyed,…
- The table above displays the results of a survey conducted among 100 students on which super power they would like to have. If a random student was chosen out of those surveyed,…
- A survey was conducted using 100 students. The results of the survey are displayed above. Which of the following events are most likely to happen?
- The Venn Diagram above represents the students that play strings, percussion instruments, and/or, brass instruments. What is the probability of a student playing three types of …
- Consider the following: 75%75\%75% of people exercise regularly. Of that 75%75\%75%, only 50%50\%50% have a gym membership. 20%20\%20% of the people who do not exercise regularl…