Yes

you do need a jacket based on the weather in Geneva, Switzerland 1 second ago

Why? Because too cold for just a hoodie, too warm for a parka!
49°F9°C & Mostly Cloudy

Wind is 4 mph7 km/h from the Northeast, gusting to 10 mph16 km/h
October 13
7am50°F10°C5 mph8 km/h NortheastMostly Cloudy
8am52°F11°C5 mph9 km/h NortheastMostly Cloudy
9am54°F12°C6 mph9 km/h NortheastMostly Cloudy
10am56°F13°C6 mph9 km/h NortheastMostly Cloudy
11am58°F14°C5 mph9 km/h NortheastPartly Cloudy
12pm59°F15°C5 mph8 km/h NortheastMostly Clear
1pm60°F16°C5 mph8 km/h NortheastClear
2pm61°F16°C5 mph8 km/h NortheastClear
3pm61°F16°C5 mph8 km/h NortheastClear
4pm59°F15°C5 mph7 km/h NortheastClear
5pm57°F14°C4 mph7 km/h NortheastClear
6pm55°F13°C4 mph6 km/h NortheastClear
DateLowHighWindDayNight
October 1248°F9°C61°F16°C5 mph8 km/h from NortheastPartly CloudyMostly Clear
October 1348°F9°C62°F17°C4 mph7 km/h from NortheastMostly ClearMostly Clear
October 1447°F9°C60°F16°C5 mph8 km/h from NortheastPartly CloudyMostly Clear
October 1545°F7°C60°F16°C3 mph6 km/h from NortheastMostly ClearMostly Clear
October 1645°F7°C60°F15°C4 mph6 km/h from NortheastMostly ClearMostly Clear
October 1744°F6°C60°F15°C2 mph4 km/h from NortheastMostly ClearPartly Cloudy
October 1844°F7°C64°F18°C3 mph5 km/h from SouthwestMostly CloudyDrizzle

Yes

Low of 48°F9°C, High of 62°F17°C
Wind: 4 mph7 km/h
Precipitation: None

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