Mindless Fluffiness

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Imagine there are two drugs, A and B,
that might help cure a problem you have and you are given the following
information. 1100 people took drug A and it helped 505 of them. And 1100 people
took drug B and it helped 195 of them. I put this in the table below along with
the percentage of people where each drug was a success. Assume you can’t take
both drugs and that neither drug has any ill effect, risk, or cost from taking
it.

Drug | Successful | Failed   | percentage success
A    |    505     |     595  |   46%
B    |    195     |     905  |   18%

Which drug would you choose to take given this
information?

Now let me provide a little
extra information. In the study above, it turns out that for drug A, there were
100 males and it worked for 5 of them and for drug B there were 1000 males and
it worked for 100 of them. From this information, and a little subtraction, I
have filled out the two tables below.

For
males

Drug | Successful  |  Failed   | percentage success
A    |      5      |      95   |   5%
B    |    100      |     900   |  10%

For
females

Drug | Successful |   Failed   | percentage success
A    |    500     |     500    |   50%
B    |     95     |       5    |   95%