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In the book " Complete Probability & Statistics 1 for Cambridge International AS & A Level " I found the following question:
The homework diaries and completed homework of two Students A and B, are examined. There is a probability of 0.4 that Student A does not make a note in her diary homework set. She always does the homework if it is written in her diary, but never does the homework if it is not written in. There is a probability of 0.8 that Student B writes the homework given in her diary. When she does this, she will do the homework 90% of the time. If she has nothing written in her diary then she checks with a friend, who knows what the homework is 50% of the time; Student B always does the homework if she is told what it is by her friend. A) Find the probability that Stundent B does her homework on a particular night. B) Find the probability that both students do her homework on a particular night. C) If one piece of homework was given to a student but wasn’t done, find the probability that it was given to Student A.
For A) I got $0.8\cdot 0.9+0.2\cdot 0.5=0.82$ .
For B) I got $0.82\cdot 0.6=0.492.$
For C) I got: The probability that the homework is not done by both or one student is $1-0.492=0.508$ . Therefore we find that $\frac{0.4}{0.508}\approx 0.7874$
But consulting this forum I found that the solution is apparently $\frac{0.382}{0.382+0.108}=0.752$
I do not understand why this is correct. For me, 0.752 is the solution to the question: If homework of both was checked and one was not done, find the probability that it was Student A's.
Can somebody tell me if I am missing something?
The homework diaries and completed homework of two Students A and B, are examined. There is a probability of 0.4 that Student A does not make a note in her diary homework set. She always does the homework if it is written in her diary, but never does the homework if it is not written in. There is a probability of 0.8 that Student B writes the homework given in her diary. When she does this, she will do the homework 90% of the time. If she has nothing written in her diary then she checks with a friend, who knows what the homework is 50% of the time; Student B always does the homework if she is told what it is by her friend. C) If one piece of homework was given to a student but wasn’t done, find the probability that it was given to Student A.
I got: The probability that the homework is not done by both or one student is $1-0.492=0.508$ . Therefore we find that $\frac{0.4}{0.508}\approx 0.7874.$
Firstly, you are interpreting "one student" as "at least one student", whereas the author probably means "exactly one student".
Secondly, you aren't taking into account the given condition that one piece of homework wasn't done.
Now, P(A did but not B) $= [0.6 \times (0.8\times0.1+0.2\times0.5)]=0.108,$
while P(B did but not A) $= [(1-0.6) \times (1-(0.8\times0.1+0.2\times0.5))]=0.328.$
The required probability is P(B did but not A) $\div$ [P(A did but not B) + P(B did but not A)], which equals $$\frac{0.328}{0.328+0.108}=0.752.$$
But consulting this forum I found that the solution is apparently $\frac{0.382}{0.382+0.108}=0.752.$ I do not understand why this is correct. For me, 0.752 is the solution to the question: If homework of both was checked and one was not done, find the probability that it was Student A's.
Exactly! But, to be exact, "exactly one was not done". -)
By the way, your transcribed answer from that forum contains two identical typos.
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This phrase is correct and commonly used in English.
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This phrase is incorrect. In English, the third person singular form of the verb 'do' requires the addition of 'does'.
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Glenn Howerton and his wife, actress Jill Latiano, married in 2009
Contributor, PEOPLE
Amanda Edwards/Getty
If there’s one thing Glenn Howerton is known for, it’s giving it his all — as an actor, father and husband to actress Jill Latiano.
Fans of It’s Always Sunny in Philadelphia know of Howerton as Dennis Reynolds, the co-owner of Paddy’s Pub. Still, he’s taken on several other characters throughout his career, including recurring roles on The Cleveland Show and The Mindy Project .
Despite his long list of accomplishments, Howerton has shared that It’s Always Sunny in Philadelphia has a special place in his heart. Not only was he an executive producer, director and writer for the show, but in 2009, he and Latiano worked together during an episode on season 5.
So who is Glenn Howerton’s wife? Here’s everything to know about Jill Latiano and her relationship with the fellow actor.
Gilbert Flores/Variety via Getty
While Latiano is known for her acting skills, she began her career as a dancer for the New York Knicks in 1999.
Latiano originally danced competitively — long before joining the Knicks. In 2022, Latiano posted a throwback photo compilation on Instagram celebrating International Dance Day.
The slideshow began with a black-and-white snapshot of a young Latiano in ballet flats and ended with a group shot of three happy tweens (including Taryn Manning ) posing with a trophy in hand.
In 2004, Latiano made her acting debut as “Party Girl #2” on the “Let There Be Light” episode of HBO’s Sex and the City .
Since then, she’s guest starred in various television shows, including Rescue Me , CSI: NY and Drake & Josh. She also made appearances in Epic Movie and Lower Learning .
Glenn Howerton/Instagram
Howerton and Latiano have been inseparable since 2007 . The couple wed on Sept. 8, 2009, in Rancho Las Lomas, Southern California. The theme of the wedding was “Lucky in Love.”
“Glenn and I are always telling each other how lucky we feel to have found each other ... so that is sort of how it [the theme] came about,” Latiano told Green Wedding Shoes .
She continued, “It was carried throughout the wedding from the cupcakes, to the backdrop of the photo booth, to the table names which were all things pertaining to good fortune and/or luck.”
In episode 10 ("The D.E.N.N.I.S. System") of It’s Always Sunny in Philadelphia ’s fifth season, Latiano played Howerton’s love interest, Caylee.
In 2016, It’s Always Sunny in Philadelphia dedicated its eighth episode of season 12 to her father, Bob Latiano, who died that year.
On Sept. 12, 2011, the couple welcomed their first child, Miles Robert. Howerton announced the news during an appearance on Conan , where he admitted that the baby’s name was a last-minute decision.
“My wife and I thought it would be a good idea to wait to see the baby first before we actually decided what his name would be ... get a sense of the guy,” he said. “Then we saw him and he looked like a tiny little baby alien grandpa creature and I was like, ‘I’m not getting any information from this — at all.' "
In 2014, Howerton and Latiano surprised the public with the birth of their second son, Isley Ray — named after the Isley Brothers.
“We just had another kid. We really didn’t announce it ,” Howerton told PEOPLE.
“It’s off the grid!” Latiano quipped.
Latiano uses social media as a platform for change. She often posts on Instagram encouraging people to vote and donate to various causes. In 2013, Latiano produced the documentary film GMO OMG .
Throughout the project, director and filmmaker Jeremy Seifert travels across the globe to uncover the truth behind GMOs and how they affect our health and the planet.
“My personal wish is that our film awakens the masses to the truth about their food and inspires them to demand transparency from the corporations that are feeding us and that control the future of agriculture,” Latiano said in an interview with The Chalkboard Mag .
She added, “We as a society need to demand that agriculture systems be put in place in our country that are sustainable as well as beneficial to our environment and our people.”
Activism isn’t the only thing Latiano uses her social media channels for — she often shares posts of appreciation for her husband, and he does the same for her.
“My advice? Marry your best friend,” Howerton captioned an Instagram post in 2020. “Bonus points if your best friend happens to be a stone-cold babe. Happy 11th Anniversary to this incredible lady @jill_howerton. I can’t imagine being more in love with another human being.”
According to Hello! magazine, Shackleton boasts a privileged background: her father Jonathan Charkham is a former adviser to the Bank of England and also sheriff of the City of London.
Her mother, meanwhile, is Moira Salmon. Per The Guardian, her mother’s family founded the Lyons Corner House empire, making her TV chef Nigella Lawson Shackleton’s cousin.
According to Hello!, Shackleton, now 68, initially wanted to study medicine but didn’t make the cut. She then went to Exeter University, graduating with a third class honours law degree – a term used for a low-pass grade that is known to negatively impact future job opportunities. According to The Guardian, she tried her hand at being a cordon bleu chef after university, but ultimately decided to follow a career in law. She was eventually hired by Farrer & Co, the law firm for the royal family.
She was also hired by Princess Haya in her custody battle with the Emir of Dubai, Sheikh Mohammed bin Rashid al-Maktoum. Per Spear’s, the divorce settlement for the princess was £554 million (around US$704.7 million), the largest settlement in the UK at the time.
The Standard reports that Shackleton is known for being a workaholic. While Princess Haya was her client, Shackleton was in hospital for an arm injury, but continued working on the case.
But she has a softer side too, often baking brownies for her clients and other associates.
Although her exact net worth is not known, it has been widely reported securing Shackleton’s services comes with a hefty price tag. Per The Standard, her rate starts at £550 (around US$700) per hour.
Shackleton pays close attention to fashion, too. From her Louis Vuitton bags to Ferragamo shoes and Philip Treacy trilbies, the lawyer is not afraid to flaunt her luxury wardrobe.
She _____ her homework before going to bed.
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By the time you read this letter I ___ towards Australia. How to use : Read the question carefully, then select one of the answers button. GrammarQuiz.Net - Improve your knowledge of English grammar, the best way to kill your free time. She always does her homework __________. A. correct B. correctly - Grammar Quiz.
3. Does she do her homework? To ask a question, we need to use an auxiliary verb at the beginning of the sentence. In our case, the auxiliary verb is do: this is called do-support. But since "she" is a singular third-person pronoun, we turn do into does. The first do carries the third-person ending s (or es) instead of the second.
She do her homework. This phrase is incorrect in English. The correct phrase is "she does her homework." In English, the verb "do" changes to "does" when used with third-person singular subjects like "she." This is a basic rule in English grammar. TextRanch has helped me to improve my written skills as well as to communicate more naturally ...
He never forgets his homework. No times! We usually put the adverb before the verb. She always does her homework after school. I usually have cereal for breakfast. If the verb is to be, we put the adverb after the verb. They are usually on holiday in July. He is sometimes late for school. To ask a question, use often or how often.
Mary always _____ her homework in the evening. A. does. B. makes. C. takes. D. learns. Select your answer: Next Quiz > Random Topics: Have Been to vs. Have Gone to Lend vs. Borrow Present Perfect Tense Gerunds/Infinitives Verb 3 forms Present and Past Tense Verbs & Phrasal Verbs Verb Phrases Comparision.
At the moment Maria _____ her homework, as she does every day. does is doing a) does b) is doing . 4. The baby _____ 21 inches long. measures is measuring a) measures b) be used to . 5. Please be quiet. ... Is she always _____ with children and animals? so patient being so patient a) so patient b) being so patient . Your score is: Correct answers:
Consider the following examples: We did our homework last night. She did her homework last night.. Auxiliary Verbs. Auxiliary, or helping verbs, are used with another base verb to create negative sentences, questions, or add emphasis.Here's how do should be used as an auxiliary verb:. 1. Negative Sentences. Following the same subject-verb pairings introduced above, we combine the ...
9. She always does her homework with great accuracy. (ACCURATE) 10.The city displays a relaxed, colonial atmosphere that takes you back in time. (COLONY) 11. It's needless to say that they lost the game because they defended so poorly. (NEED) 12. The books at that shop are so inexpensive even poor people can afford them. (EXPENSIVE) 13.
Does. B. Do. How to use : Read the question carefully, then select one of the answers button. About grammarquiz.net. GrammarQuiz.Net - Improve your knowledge of English grammar, the best way to kill your free time. Lisa is a diligent student A. She always does her homework B. She never does her homework C.
So if the homework is not affected by weather, it is probably more common to say "She always does her homework." or "She (always) does her homework, without fail." ('without fail' emphasizes the certainty) Also usually these days, at least where I am from in Canada, we most often just say "rain or shine", without the word 'come'. For example ...
My daughter needs some help with her homework. Just make sure Callie does her homework. She would have done her homework. Dana was hoping she could find someplace to do her homework. She used to come here sometimes after school and do her homework. I help him with his homework sometimes. Dana was hoping she could find someplace to do her homework.
Use Simple Present and Present Progressive. It (be) early in the morning. Sally (get) out of bed, (open) the window and (go) into the bathroom. Then she (have) breakfast. After breakfast, Sally usually (cycle) to school. After school, she (go) back home. Sally usually (eat) her lunch at home. In the afternoons, she first (do) her homework and ...
She never does her homework. C. She always does her homework in the classroom. D. She does not care about her homework. How to use : Read the question carefully, then select one of the answers button. About grammarquiz.net. GrammarQuiz.Net - Improve your knowledge of English grammar, the best way to kill your free time.
She always does the homework if it is written in her diary, but never does the homework if it is not written in. There is a probability of 0.8 that Student B writes the homework given in her diary. When she does this, she will do the homework 90% of the time. If she has nothing written in her diary then she checks with a friend, who knows what ...
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The correct phrase is "she sometimes does her homework." In English, the verb "do" changes to "does" when used with third-person singular subjects like "she." The incorrect phrase "she sometimes do her homework" is grammatically incorrect due to the mismatch between the subject and the verb form. Last Updated: March 26, 2024. - December 2023.
Why does she do her homework late? Alternatives: she is doing homework; she will do homework; she did homework; she has done homework; she will be doing homework; ... Always 100% satisfied. You guys are the best in the world at what you do. Thank you so much :)" - Zubair Alam October 2023. TextRanch, LLC.
With the help of their grandmother, they made her a grave. From her head grew the three sister plants: corn, beans, and squash. From her heart grew tobacco, which people still use to give thanks in ceremony. She is called 'our mother' and the people dance and sing to her to make the plants grow."
"Well, I just tortured her. If she [were] gonna be mean to the girls -- I saw her ploy, just so I could remain under the radar -- I would tell her things like, 'I did Vogue, you did Elle.'"
In 2016, It's Always Sunny in Philadelphia dedicated its eighth episode of season 12 to her father, Bob Latiano, who died that year. She's a mom of two Jill Latiano with her kids.
'She died doing what she always does: Helping,' her father, Tommy Weems said. 'There's no instruction manual for this,' Tommy said to the Arkansas Democrat Gazette.
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A. For. B. Since. How to use : Read the question carefully, then select one of the answers button. GrammarQuiz.Net - Improve your knowledge of English grammar, the best way to kill your free time. She _____ her homework before going to bed. A. finishes B. finished C. finishing D. finish - Grammar Quiz.