Zora's Domain Diving Minigame - Rupee Odds

Before obtaining the Silver Scale, the Zora throws 5 blue rupees to be collected.

If you play the diving minigame after obtaining the Silver Scale, the Zora will throw ten random rupees. When each of the ten rupees are thrown by the Zora, the game generates a random floating point number in the exclusive range (0, 200.99)

The rupee type is determined by which of the following ranges it is a part of.
(0, 40) = Green Rupee (worth 1 rupee)~= 19.901%
[40. 170) = Blue Rupee (worth 5 rupees) ~= 64.680%
[170, 190) = Red Rupee (worth 20 rupees) ~= 9.951%
[190, 200) = Purple Rupee (worth 50 rupees) ~= 4.975%
[200, 200.99) = Orange Rupee (worth 500 rupees) ~= 0.492%


The odds of getting at least one Orange rupee are
1 - (1 - 0.99/200.99)^10 ~= 4.818%

The odds of getting at least one Purple rupee are
1 - (1 - 10/200.99)^10 ~= 39.971%

The odds of getting at least one Red rupee are
1 - (1 - 20/200.99)^10 ~= 64.941%