A-Level Maths: M1-15 [Probability: Two-Way Table Example 2]

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The wording in this question could be a bit more clear as it could also be interpreted as 6% of the students on route A are left handed and 8% of the students on route B are left handed rather than 6% and 8% of the total students. Always tricky with stats questions!

NM-ytfs
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Hi, when u did 0.34^3, i was confused as why does the probability not change after selecting the first person? Because that person cant be selected again.

fardinahmed
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For part b, is there any quicker way to get how many ways through there could be in the exam? I am asking because last time you should a way to do which was to factorial the number of people selected, but this one was a bit different and it would save time in the exam if there was a quicker way to find how many roots there could be

short-shots
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Hi, when I'm faced with a probability problem, how do I know when to use a two-way table and when to use tree diagrams? What's the indicators in the question for the different methods?

hb
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Hi JB; just wanted to say your videos are really, really inspirational; thanks for all the effort dedication you have put in / are putting in to create a quality set of videos. FYI I've gone through about 400 of your videos now and this is the first time I've hit a snag.


I do have a "daft lad" comment to make on this particular problem; so hopefully you'll keep me honest on this :-). Like N M (from 6 months ago) I found the wording contained some ambiguity - but for a different reason (hence more than happy for you to get me back on side). I tried figuring this out before looking at your run through and had trouble comprehending the third sentence. I was content enough with the "6% and 8% respectively" left handed people in sentence two; however, the "60% opt for Route B" I really struggled with. 60% of what? 60% of all students? Given it is a new sentence (there is a full stop after the word "respectively" right?) I did not want to assume you were referring to just the left handed students. So, should the problem have called this out unambiguously i.e. 60% of the left handed students opt for Route B?


Like I say, apologies for the daft lad question, and thanks once again.

veem
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for the 0.34 ^3 bit would that not imply that the same student could be picked again? should it not be 0.34 X (0.34-x) X (0.34-2x) ???? eg lets say 100 people( 34 x 33 x32 )/ (100 x 99x98)??? or is this probability based upon assumption that any difference between 0.34^3 probability and the exact probability is negligible???

chewypiano
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How do u know when you need to use a two way table or tree diagram etc

itsjennelle
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Thank you very much for your videos- they have been so useful. How do you know when to use factorial when calculating number of options and how does using 3C2 work with finding number of options? Thanks

ananyaryali
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And in the exam how do I understand if there are 3 ways without drawing that complicate Tree Diagram?

engineeringmadeasy
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hi, how will you know wether to use the two way table or a tree diagram for these questions

VirlTks
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Hello, when you times by 3 I thought you had to multiply by 3 factorial, is this not right?

genaromarzotta
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hi, how will the ncr formula work for the part c i cant figure it out to find possible combinations

haisamnadeem
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Is there a faster way to work out how many different orders there could be without drawing out the probability tree?

harrysmith