#13 - Most people who are skilled banjo players are also

[Oneshot06]

Hi,

I reasoned with the above explanation by creating a venn diagram. One circle was Banjo the other Guitar. The overlapping bit was b+g. So if I had 100 = B, at least 51 is b+g. To make conclusion valid of most g not skilled in b, I need at least 52 of g only + 51 (b+g) to have 103 g. I can visually see the whole structure of the argument now. Do you think this method would work for future q's that are conditional in nature and deal with quantities?

[Daniel Stern]

Yes, OneShot, I think you are on track with a technique that you can use in exactly the same way on other questions where there are comparisons of quantities.

Nice work!
Dan

[lanereuden]

Why did everyone over complicate this??!

Let’s use easy example:
The first fact is Most banjo players are guitarists. For instance: 6/10 banjo are also guitar
Then we also know, Most people who play guitar are not skilled banjoists

That means, there must be more guitarists than banjoists:

continuing with above example below:

From the second fact, Let’s say we have (or at least in theory) 10 guitarists as well, then we have
6/10 guitarists do not play banjo , which leaves 4 guitarists who ALSO DO banjo
This makes no sense because it is not possible: 4 is less than the 6 people who do both Banjo and guitar (again, as seen by the fact there’s 6/10 banjo are also guitar)