The cake is a lie

Items in their inventory when the game ended, across 17 games.

Item	Games	Of all games	Win rate
Arcane Boots	9	52.9%	11.1%
Glimmer Cape	7	41.2%	42.9%
Magic Stick	6	35.3%	0.0%
Aghanim's Scepter	5	29.4%	60.0%
Observer and Sentry Wards	5	29.4%	40.0%
Tranquil Boots	4	23.5%	50.0%
Ethereal Blade	4	23.5%	0.0%
Blink Dagger	3	17.6%	100.0%
Hand of Midas	3	17.6%	66.7%
Force Staff	3	17.6%	33.3%
Point Booster	3	17.6%	0.0%
Smoke of Deceit	3	17.6%	0.0%
Yasha and Kaya	3	17.6%	0.0%
Boots of Travel	2	11.8%	100.0%
Guardian Greaves	2	11.8%	100.0%
Lotus Orb	2	11.8%	50.0%
Phylactery	2	11.8%	50.0%
Null Talisman	2	11.8%	50.0%
Tiara of Selemene	2	11.8%	50.0%
Ghost Scepter	2	11.8%	0.0%
Observer Ward	2	11.8%	0.0%
Spirit Vessel	1	5.9%	100.0%
Magic Wand	1	5.9%	100.0%
Essence Distiller	1	5.9%	100.0%
Silver Edge	1	5.9%	100.0%
Dagon	1	5.9%	100.0%
Aeon Disk	1	5.9%	100.0%
Hurricane Pike	1	5.9%	0.0%
Refresher Orb	1	5.9%	0.0%
Black King Bar	1	5.9%	0.0%
Octarine Core	1	5.9%	0.0%
Boots of Travel 2	1	5.9%	0.0%
Rod of Atos	1	5.9%	0.0%
Kaya	1	5.9%	0.0%
Butterfly	1	5.9%	0.0%
Fluffy Hat	1	5.9%	0.0%
Infused Raindrops	1	5.9%	0.0%
Great Healing Lotus	1	5.9%	0.0%
Meteor Hammer	1	5.9%	0.0%
Soul Ring	1	5.9%	0.0%