Probability: Two Independent Events
Read this topicExplanations 4
- Suppose AAA and BBB are two independent events. Then P(AP(AP(A and\textrm{and}and B)B)B) or more commonly P(A∩B)=P(A)⋅P(B)P(A \cap B) = P(A) \cdot P(B)P(A∩B)=P(A)⋅P(B). In other…
By Rithvik Pasumarty, Elise Molinaro, Alex Federspiel, Caroline K, Sarah Walker
- (Video) Probability of Independent Events by MathHelp.com MathHelp.com has a good video on how to find the probability of two independent events. Summary\large{\text{Summary}}Su…
By Ben Ferrara, Alex Federspiel, Sarah Walker, Amy Feraco
- Independent Events If 222 events (AAA and BBB) are independent, they have NO effect on each other. This means that the outcome of event AAA has absolutely NOTHING to do with eve…
By Hannah Bonville, Alex Federspiel, Christine, Sarah Walker, Amy Feraco
- Two events are said to be independent if the probability of one event does not affect the probability of the other. For example, a coin flip and drawing a card from a standard d…
By Ryan Milcarek, Sarah Walker
Problems 29
- If you toss a fair coin, what is the probability that you flip two heads in a row?
- A card from a regular deck of 525252 cards is chosen and then placed back into the deck. Another card is then chosen. What is the probability the first card was a king and the s…
- What is the probability of rolling 222 202020's in a row on a 202020-sided die?
- What is the probability of getting a head and then a tail while flipping a coin?
- What is the probability of pulling 222 ace of spades from 222 separate decks at the same time? (HINT: there are 525252 cards in a standard deck.)
- What is the probability of pulling 222 hearts from 222 separate decks at the same time?
- Suppose that the probability that it will rain on Saturday is 606060%, and the probability that it will rain on Sunday is 707070%. If the probability that it rain on a given day…
- Suppose you toss two coins in the air. What is the probability of landing on tails twice?
- For independent events AAA and BBB, what is P(A∩B)P(A \cap B)P(A∩B)?
- Which of the following is not an independent event.
- Chelsea is an audience member for a live game show and has a chance of being randomly selected for the grand prize given to one audience member. There are 121212 audience sectio…
- Which of the following represents two independent events?
- AAA and BBB are independent events. P(A)P(A)P(A)=12\frac{1}{2}21 P(B)P(B)P(B)=13\frac{1}{3}31. What is P(A and B)P(\text{A and B})P(A and B)?
- Justin walked into school and realized he forgot to study for the state capitals quiz. What is the probability of him guessing correctly on each question?
- Find the probability of rolling an odd number five times in a row on a six-sided die.
- Jess and Sadie are playing archery. Sadie has a 111\frac{1}{11}111 probability of hitting the bullseye, while Jess has a 113\frac{1}{13}131 probability of hitting the bullseye…
- Cornelius is a professional bowler and knocks down all of the pins 909090% of the time. What is the probability of him not knocking down all of the pins in the next two turns.
- Given above are the free throw percentages of the three best players on a team. What is the probability of the best player (in terms of free throws) making the next 333 free thr…
- Golfer Steve Stricker is ranked number 111 in the PGA tour for driving accuracy with an accuracy of 72.972.972.9%. What is the probability of his next two shots off the tee land…
- Which of the following makes an event independent?
- Anthony is looking through his closet for something to wear for his job interview. He sees that he has 444 blue shirts, 333 green shirts, and 222 red shirts. He also has 333 bla…
- Ben randomly selected 222 cards from a standard deck of 525252 cards. What is the probability that the first card is an odd number and that the second card, after replacing the …
- Your teacher has a box of pens and pencils set out for the students everyday before class. In it, there are 121212 pens and 303030 pencils that are to be returned at the end of …
- Find the probability of choosing a green marble from the bag after choosing a marble and then replacing it. Also find the probability of choosing a green marble from the bag abo…
- There are two students in Mr. Jones' English class. Each of these students usually get a DDD (60−6960-6960−69%) on their weekly spelling tests. Mr. Jones announces that next wee…
- As a sales gimmick to test out a new candy product, a company decides to come out with bags filled with a mix of new and old candy. Each bag has 606060 pieces of candy, and 30%3…
- An ice cream shop has the following seven flavors of ice cream: Chocolate Chip Strawberry Cheesecake Mint Chocolate Vanilla Chocolate Coffee Chocolate Fudge Brownie If you are g…
- What are the chances of randomly opening a 14 page packet to the same page three times in a row?
- Andrew decided to run a simulation to find the probability of him being late for work. He decided to determine this by considering the probability of two events. Event A: He get…