Probability: Complement of an Event
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- The Complement of an event is the case where the event does not occur. Usually we add a bar over the symbol for an event to denote its complement, so the complement of AAA is Aˉ…
By Tom Vielott, Ruiran Xun, Sarah Walker
- (Video) Probability of the Complement of an Event by HCCMathHelp HCCMathHelp has a great video showing how to find the probability of a complement of an event. Summary\large{\te…
By Ben Ferrara, Alex Federspiel, Ruiran Xun, Jonathan Heller, Amy Feraco
- To make the game more exciting, I now just have to guess the type of card--either suit or rank (number, ace (111), jack, queen, or king). Right! Since there are 444 suits in a d…
By Wayne Zhao, Ruiran Xun, Sarah Walker
- Complements No, these aren't compliments, but rather complements. Just in case you're disappointed, you should know that we think you're awesome! In probability and statistics, …
By Hannah Bonville, Alex Federspiel, Sarah Walker
Problems 26
- How many ways are there to arrange the letters A,A,A,H,HA,A,A,H,HA,A,A,H,H in a row so that the sequence HAHAHA appears at least once? \\ Source: 2011-2012 Winter Online Math Open
- A drawer has 555 pairs of socks. Three socks are chosen at random. If the probability that there is a pair among the three is mn\frac{m}{n}nm, where mmm and nnn are relatively …
- What is B−AB - AB−A?
- A pack of starburst has 333 red, 666 yellow, 222 orange, and 444 pink. What is probability of not pulling a pink starburst?
- The probability of grabbing a green marble from a bag is 1255000\frac{125}{5000}5000125. What is the probability of NOT pulling a green marble?
- Assume the spinner above is fair and each slice has an equal chance. What is the probability of not landing on red?
- There are 121212 horses running in a race. If there is a 2023\frac{20}{23}2320 chance one of the top 333 seeded horses wins, what is the probability that one of the other 999 h…
- The probability of grabbing a red t-shirt from your drawer is 14\frac{1}{4}41. What is the probability of NOT grabbing a red t-shirt?
- Let SSS be a subset of the integers 1,2,…,1001,2,\dots,1001,2,…,100 such that 3x∉S3x\notin S3x∈/S whenever x∈Sx\in Sx∈S. What is the largest possible size of SSS? (Hint: Conside…
- Which of the following describes the complement of an event?
- Which of the following the the correct formula for the complement of an event?
- Joey says he will only buy a ticket for a Pittsburgh Penguins hockey game if their odds of winning are greater than 606060%. The probability of them losing is 210\frac{2}{10}102…
- Mackenzie is allergic to gluten and is looking at the following lunch items. If she picks an item uniformly at random, what is the probability of her choosing something that is …
- Consider a standard deck of cards. What is the complement of drawing a face card?
- Consider the dice above. What does the die shaded in purple represent?
- Consider the game spinner above. What is the complement of landing on a 555?
- What does the complement rule state?
- What is the probability of drawing a marble that is not green and then another marble that is not orange? Assume we don't replace the first marble we drew.
- Jackie is buying a flower to go with her birthday gift for her friend Hannah. She goes to the store to purchase a flower and sees the following selection. Unfortunately, Hannah …
- For two events to be complements, one or the other ________.
- 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…
- If I choose a random 444 digit number what is the probability that it has at least 222 distinct digits?
- How many ways are there to order the numbers 1,2,3,4,5,6,7,81,2,3,4,5,6,7,81,2,3,4,5,6,7,8 such that 111 and 888 are not adjacent? Source: Lexington Math Tournament
- Rachel is debating buying tickets to a Hamilton musical on Friday. If the chance of no rain is greater than 70%70\%70%, she will not buy the tickets. Rachel just checked the wea…
- If P(A)=57P(A)= \dfrac{5}{7}P(A)=75, what is the value of P(A′)P(A^{\prime})P(A′)?
- Shelby had to go to work one morning. She had 303030 minutes to get to the office. She plans on taking the bus, and the probability of her making it to work in time is 35%35\%35…