Probability Trees (Dependent Combined Events) | Conditional Probability | Grade 5+ |GCSE Maths Tutor
A video revising the techniques and strategies for solving probability questions when looking at dependent events. (Higher & Foundation).
This video is part of the Probability module in GCSE maths, see my other videos below to continue with the series.
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These are the new revision guides I recommend 💡
Higher - New Grade 9-1 GCSE Maths Edexcel Student Book - Higher (with Online Edition) (CGP GCSE Maths 9-1 Revision) - amzn.to/366PltG
Foundation - New Grade 9-1 GCSE Maths Edexcel Student Book - Foundation (with Online Edition) (CGP GCSE Maths 9-1 Revision) - amzn.to/2PpbjBF
Revision videos:
The Entire GCSE in Only 2 Hours!! Higher and Foundation Revision | GCSE Maths Tutor - • Everything You Need To...
Everything for a Grade 6-9 in your GCSE Maths Exam! Higher Maths Exam Revision | GCSE Maths Tutor - • Everything for a Grade...
All The Topics You NEED To Know For The 9-1 Maths GCSE 2020 (Higher) - • All The Topics You NEE...
More videos in the series:
All of Probability in 30 minutes!! - • All of Probability in ...
Two Way Tables & Frequency Trees - • Two Way Tables & Frequ...
Venn Diagrams & Set Theory - • Venn Diagrams & Set Th...
Product Rule for Counting - • The Product Rule for C...
Probability from a Table - • Probability from a Tab...
Probability Trees (Independent Events) - • Probability Trees (Ind...
Probability Trees (Dependent Events) - • Probability Trees (Dep...
Probability Equations - • Probability Equations ...
The 5 Hardest Probability Exam Questions using Algebra - • The 5 Hardest Probabil...
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Пікірлер: 138
I litterally just note down the lessons we do in lesson and come home and watch you video on it. Basically you are my gcse maths teacher sir GO ON SIR👍
@Supply916
2 жыл бұрын
Shush
@laibanadeem7811
2 жыл бұрын
@@Supply916 ARE YOU STUPID
@Pwnage-ss3um
Жыл бұрын
@@Supply916 LOL
@rayhaan7860
Жыл бұрын
@@Pwnage-ss3um haha
@TomJ211
9 ай бұрын
Fr
best maths youtuber going🙌🏽
@TheGCSEMathsTutor
4 жыл бұрын
k sam Thanks a big statement! thank you so much! It’s really appreciated!! 🙏🏼
@muhammadaizaz2233
3 жыл бұрын
I can not disagree with u
@username-sb1hp
2 жыл бұрын
👆👆 for real
best maths teacher on youtube thank you so much for everything
@TheGCSEMathsTutor
2 жыл бұрын
Thank you so much for the kind words! 😁🙏🏼
@omarsangani3282
Жыл бұрын
fax
@phliqqy5475
Жыл бұрын
luckly fella
9:29 and 17:08 exam practice.
Starting to think i might not need to go to school, i can just watch your videos 😅😅.Thank you so much
@TheGCSEMathsTutor
2 жыл бұрын
Haha if my videos are that powerful for you, imagine how good you’re going to be having both 😁💪🏼
YOU are amazing when the teachers were explaining it at school i did not understand and when i watch your videos i understand Thank you so MUCH plus can you not simplify the answers
@TheGCSEMathsTutor
2 жыл бұрын
Thank you so much for the kind words I’m so glad to hear that! In regards to simplifying the answers, you can but you don’t gain extra marks! And if you simplify incorrectly you can lose marks.. so it’s a relatively pointless step to worry about! 😁🙏🏼
This guy is saving my life
i feel like they need to show us your videos in school because they make so much more sense than my teacher
Just like you to know this helped alot mate I appreciate your time for doing this
At 8:20 what if 3 counters were taken at random? Would we have to do 3 branches?
You make more sense than my actual maths teacher
thank you so much! this was quite helpful!
As a set 1 i see people in the comments who find this harder than i do, and im the one thinking im bad at maths when it is easier for me to understand this at school then everyone else.😊
Do you need to cancel down a probability fraction? Also, thank you for all your help.
@TheGCSEMathsTutor
3 жыл бұрын
No you can leave it as it is 😁🙏🏼🙏🏼
You must get so many views as people come to see your videos yearly
@TheGCSEMathsTutor
2 жыл бұрын
It takes a long time but it’s getting there 😁🙏🏼
@hemanthsai6161
Жыл бұрын
@@TheGCSEMathsTutor i donot get it like hen u have mentioned cameron takes two random counters possibilites must be 5 right why 6?
Helped me a lot
@TheGCSEMathsTutor
4 жыл бұрын
Lolll Hello Great to hear 😁
great revision video thanks
@TheGCSEMathsTutor
4 жыл бұрын
ibraheem Ali Thank you 😁🙏🏼
As a set 1 i see people in the comments who find this harder than i do, and im the one thinking im bad at maths when it is easier for me to understand this at school then everyone else.
Nicely explained sir as usual!! Great intro and outro music!!
@TheGCSEMathsTutor
2 жыл бұрын
Thank you 😁🙏🏼
I have heard the formula P(A AND B) = P(A) * P(B) where A and B are independent events so why are we multiplying the probabilities when the events are dependent.
@TheGCSEMathsTutor
3 жыл бұрын
Aryam Rege We always multiply probabilities like these regardless of wether they are dependent/independent! For a more thorough description why it’s worth watching the video on the product rule for counting! 😁🙏🏼🙏🏼
11.07 .. Sir can u explain how one number Dropped down when 2 countes were taken
@readingamber
9 ай бұрын
thats what im confused ab..
@yourlocalshortie4316
7 ай бұрын
@@readingamber because they took them in 2 different "takes" So,like, : Person: takes one counter from the bag Same person: takes ANOTHER counter from the bag They took 2 marbles, but not at the same time
Great video. Just wondering why at 11:08 rr is 3/10. however in the question it says he takes two counters out at random. Is it me or is it just the way the question is worded
@TheGCSEMathsTutor
4 жыл бұрын
Gemma Khan The question is worded strangely, when it says “two counters are removed” it means that one is removed, checked and then a further counter is taken on the second pick. So hence on this tree only one counter is removed by the time we reach the second branch. This language always confuses students in exams!! 😁🙏🏼
@gemmakhan8419
4 жыл бұрын
@@TheGCSEMathsTutor oh that makes sense now. Thank you sir
thank you 💘
thank you so much
YoU know the 2nd question shouldnt you take away 2 instead of 1 as he took 2 counters out?
@TheGCSEMathsTutor
3 жыл бұрын
SuperBob The first branch represents the first counter, the second set of branches represent the second counter that is taken, we can only use these trees to calculate one at a time, even though it says two are taken we are assuming this was one after another rather than reaching in and taking 2 at the same time! Hope this helps 😁🙏🏼
@kawlanonya833
2 жыл бұрын
i don't get it, does this mean that on the first branch he already took 1 counter?/ i get confused easily
@kawlanonya833
2 жыл бұрын
@@TheGCSEMathsTutor actually wait I think I know what your saying/ so it doesn't matter if they take 3 or 8 counters. we will only take one counter away?'
what video is the one you talk more about the terminology they use in these type of problems
Thanks a lot
thanks a lot 😁💥
will u still get a mark if u simplify it?
Thank you
Could this be on non calculator ?
Thankyou sir
🐐
You teach harder questions then other websites i applaud that but i wish you would supply more exams for 2020 gcse
@TheGCSEMathsTutor
4 жыл бұрын
Thank you 😁🙏🏼 All coming in good time!!
Thank u so much. Sooo helpful🙂🙂
@TheGCSEMathsTutor
Жыл бұрын
You're welcome 😊
Caroline learned the hard way that all of 20 of her biscuits now taste of ginger.
11:45 would i get the mark for the second question if it was simplified
@goat2692
2 жыл бұрын
🤫
@thelmaashibuogwu8162
2 жыл бұрын
Yeah
Why 3/6 at 8:10 for the third tree diagram? Isn’t it 2/6? why did you add one to 2/6
@minecraftlovaaa
2 жыл бұрын
Ohh never mind I got it
17:57 / 20:19
One doubt in the last question JACOB takes 2 sandwiches at random isn't we supposed to minus 2sandwiches from rest all in the second branches like 20/9 instead of 20/10
@minecraftlovaaa
2 жыл бұрын
that’s exactly what i’m thinking i’m confused by that as well
@elecaniv_0077
2 жыл бұрын
@@minecraftlovaaa lads its just worded weirdly, it basically means he took one-then im guessing ate it, then he took another. so in essence he takes one, then he doesnt put it back AND THEN HE TAKES ANOTHER.. which is why it is minus one
@elecaniv_0077
2 жыл бұрын
another way to say it is...The question is worded strangely, when it says “two sandwiches are removed” it means that one is removed, checked and then a further sandwich is taken on the second pick. So hence on this tree only one sandwich is removed by the time we reach the second branch. This language always confuses students in exams!! 😁🙏🏼
Are the answers still correct if simplified...
Hello Mr. GCSE Maths Tutor, thank you for replying to my message. I have another question, for the second question, why wouldn't the 2nd bag be over 5? Thank you for always responding!
@estheraiyelabola6933
2 жыл бұрын
Please don't worry, I understand now!😁😁😁
@senanamin9474
2 жыл бұрын
@@estheraiyelabola6933 im confused why would it not be out if 5
1st like aswell
@TheGCSEMathsTutor
4 жыл бұрын
Lolll Hello Haha love that 🙏🏼
@rayhaan7860
Жыл бұрын
go have a medal
But what if it's two reds he takes out? This is what confuses me. We are assuming he takes one red and then one blue. Help!
@TheGCSEMathsTutor
2 жыл бұрын
You can only work on the assumption that one is taken at a time! 😁🙏🏼
@hemanthsai6161
Жыл бұрын
@@TheGCSEMathsTutor oh i get it thanks
the second question could be an independent event, right? or is it just dependent? if so then why.
@TheGCSEMathsTutor
4 жыл бұрын
It is a dependent event as the probability of the second counter is dependent on the colour of the counter taken out on the first pick 😁🙏🏼
@lamiyakhokon890
4 жыл бұрын
@@TheGCSEMathsTutor thanks. got it. great video btw. :)
could you please make a video on conditional probability?
@TheGCSEMathsTutor
2 жыл бұрын
This is conditional probability 😁🙏🏼
@oliviaaa2324
2 жыл бұрын
@@TheGCSEMathsTutor by that I mean questions that have the 'Given that...'. do you understand what I mean?
@TheGCSEMathsTutor
2 жыл бұрын
@@oliviaaa2324 hmmm do you have any example questions? I’m sure I’ve covered it all! 🙏🏼
@oliviaaa2324
2 жыл бұрын
@@TheGCSEMathsTutor in conditional probability questions you usually get wording such as "the probability that event A happens given that event B happens." that kind of wording confuses me personally and some questions are usually without tree diagrams. An example of a question:
@oliviaaa2324
2 жыл бұрын
90 pupils were asked whether they owned a laptop or a tablet device. 52 said they owned a laptop. 45 said they owned a tablet. 23 said they owned both. Find the probability that a pupil chosen at random owns a laptop, given that they own exactly one device.
Sir, i do not understand, when it says you take two biscuits out, shouldn't the denominator decrease by two and not one?
@justsomeone5660
Жыл бұрын
yup same, have u figured it out yet?
@symcow8743
Жыл бұрын
@@justsomeone5660 just assume that 1 counter is taken
ty
Thank yu
@TheGCSEMathsTutor
Жыл бұрын
You’re welcome 😊
Please why was the second set of probability 2/6 and 3/6 instead of 1/5 and 2/5 ? because in the question, Cameron takes at random, two counters not one counter from the bag.
@SaqibRiaz-nr3zv
3 ай бұрын
Don’t move your legs move your mind sis!!!!!!!
5:56 will I still get the mark if I simplify it my answer in calculator is simplified (15/28)
@Estella473
10 ай бұрын
Or if I write it as decimals
@user-mf1mi9dl6z
10 ай бұрын
u dont need to just leave it as it is@@Estella473
Last question. Was in my exam I'll tell you what I got out of 54
@TheGCSEMathsTutor
2 жыл бұрын
Best of luck! Hope it went ok!
@harisamaan786
2 жыл бұрын
@@TheGCSEMathsTutor 52 out of 54 the last question was a tree diagrams but it wasn't that simple it was triple tree event can u do a video on it
im so dumb i watched the grade 7-9 playlist and got a grade 4 cuz i didnt know some of the first half of the paper
@rayhaan7860
Жыл бұрын
what should i do pls tell me
@h_arks9691
Жыл бұрын
@@rayhaan7860 go over maths genie revision work sheets (they're by grade). You could also do some past papers for the foundation.
@rayhaan7860
Жыл бұрын
@@h_arks9691 nah not foundation im doing higher for gcse
Please the question that says, work out the probability that Ollie takes two of the same coloured counters, why didn't you multiply the probability of getting only red counters and only blue counters by two before adding them up. Because the question said the probability of two same coloured counters.
@Gh_Manchester
3 ай бұрын
My thoughts too.
@GamingWithJas-ff4yf
2 ай бұрын
OR = Add AND = Multiply
I still don’t get it
It’s funny how the video is 20:19 minutes long
@samreenimtiaz3075
3 жыл бұрын
Its not ending on 2019 it is ending on 20:20
i dont understand
Smh these guys be offending they teachers untill they get back to school only to realise they teachers been knowing it all along. Yall just play the fool in school and be a big brainer at home. Yall selves to blame.
tsym YOU are amazing when the teachers were explaining it at school i did not understand and when i watch your videos i understand
As a set 1 i see people in the comments who find this harder than i do, and im the one thinking im bad at maths when it is easier for me to understand this at school then everyone else.😊
As a set 1 i see people in the comments who find this harder than i do, and im the one thinking im bad at maths when it is easier for me to understand this at school then everyone else.😊
@zaharakhan1370
Ай бұрын
who asked
@GamingWithJas-ff4yf
Ай бұрын
@@zaharakhan1370 you just did