Understanding the purple shades indicating the balls to pick from, the probable ball.
A ball will be drawn 50% of the times from the darkest
purple shade, 20% of the times from the medium dark, 29% of the times from the lightest shade,
and 1% of the time from the non-purple balls.
The shades are placed in that order (meaning, not following the percentages, i.e. the 20% get the medium dark) because we focus
on the overall range to select from. Consider the 20% and the 29% as added percentages to
the probability of the previous range. That way you have the following ranges of number:
-
[darkest shades range]: with the darkest colors, you have fewer balls to select from.
Since you have a narrower range, your chances of forming a winning set are higher
(because the ensemble of possibilities is reduced). But it’s only likely at 50% that a
ball will be coming from those numbers.
-
[darkest + medium-dark shades]: chances of forming a winning set decreased (more balls
to select from), but it’s more likely that a ball will be coming from that range (50+20 = 70%).
-
[all purple shades]: chances of forming a winning set is low (so many numbers to pick from),
but it’s very likely that a ball will be drawn from those numbers (50+20+29 = 99%).
-
[all balls]: chances of forming a winning set is the lowest. It is certain (100%) and a number
will be drawn from the available balls in the urn.