Probability: Compound Event
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- Suppose I have a bag of 101010 3-dimensional shapes. There are 777 cubes and 333 prisms. The shapes are painted in the colors white and black. For every 101010 of these shapes, …
By Vivian Loh, Alex Federspiel, Ruiran Xun, Sarah Walker
- (Video) Probability of Compound Events by Wetrodent Wetrodent has a great video explaining the probability of compound events and explaining the difference between independent a…
By Ben Ferrara, Alex Federspiel, Sarah Walker, Amy Feraco
- Probabilities of Compound Events In statistics, the probability of compound events is the likelihood of 222 events happening at once. Think of them as overlapping events. More t…
By Hannah Bonville, Alex Federspiel, Ruiran Xun, Sarah Walker
Problems 22
- A bag has 101010 items total: 333 dice, 333 coins, and 444 marbles. If one is removed at random, and then another, what is the probability of both being marbles?
- You have 555 pieces of candy, and 444 of them are chocolate. You're having three friends over and each of them is going to take a piece of candy. What is the probability that al…
- What is the probability of rolling three 111's on a trio of 666 sided dice?
- You are in a class with 202020 other students (so there are 212121 students total). Your teacher is splitting the class up into groups of three, at random. You have two best fri…
- If the probability of getting stuck by lightning in your lifetime is one in three thousand, what is the probability of getting struck by lightning twice?
- Consider the colored tiles above. The first tile is replaced before the second is drawn. Find the compound probability of drawing a red and a red (P(Red & Red)).
- Fernando had 777 quarters and 555 dimes in his pocket. If he took out one coin and then a second coin without replacing the first coin, what is the probability that both coins w…
- Denise is playing a card game and needs to draw two kings in a row to win. There are 252525 cards left in the deck and one king has already been drawn. What is the probability s…
- Which of the following best describes an independent event?
- Emily is traveling for a business conference. Looking in her suitcase, she finds that she packed 555 blouses, 222 sweaters, 333 jeans, 222 skirts, and 111 pair of black pants. D…
- Pictured above are items sitting on Jared's windowsill. He needs to grab two pieces of fruit before his soccer game. What is the probability he chooses two bananas?
- Which of the following is not a compound event?
- Which of the following best describes compound probability?
- A survey was given to a local high school and asked students' feelings towards calculus. The survey revealed that 454545% of students did not like calculus. If 444 students were…
- Consider the arrangement of flowers above. You are picking flowers for your mother to give to her on mothers day. What is the probability of picking a rose and then a lily?
- The odds of winning the lottery are 111 in 176176176 million and the odds of living to 100100100 are 111 in 500050005000. Calculate the probability of winning the lottery and li…
- Pictured above is a bag of 313131 jelly beans. What is the probability of choosing 333 red beans, 222 green beans, and 111 orange bean (in that order)?
- Consider the shapes above. What is the probability of choosing a triangle and then a circle?
- Richard has a standard deck of cards. What is the probability of him choosing a 10,10,10, a queen, and then an ace?
- A survey was given to a local high school and asked students' feelings towards different music genres. The results of the survey are displayed above. If 333 students were random…
- I want to play a game where I flip a coin and then pick a ball from a bag. If I flip heads and pull a red ball, I win. If there are 333 red and 555 yellow balls in the bag, what…
- Consider the set S={1,2,3,…,99}S = \{1,2,3, \ldots, 99\}S={1,2,3,…,99}. Luke randomly chooses an element in the set SSS. What is the probability that the number that Luke select…