The amazing "Puzzling Phone", comes in two models, one sold by "Super Puzzling Inc", and one sold by "Mega Puzzling Ltd"
Phones need to have government testing before they can be sold on the market.
Through this testing, it turns out that a third of the "Super Puzzling Inc" models on the market work for over 10 hours on a single charge, and measurements have been conducted that revealed half of the "Mega Puzzling Inc" models last for over 10 hours on a single charge. Battery testing, as you all know, is very important! (:D)
"Super Puzzling Inc" is a very large company with a lot of resources, hence why 70% of the market is filled with its Puzzling Phones. The consumers have spoken and they simply like the new "Jet Black" colours that are available, which the other company doesn't sell. The new "Rose Gold" colours are also just wonderful!
You have completely randomly purchased a brand-new "Puzzling Phone", however, it is unlabeled, so you don't know which company of the two manufactured it, and additionally, you have not taken a look at the box or its contents at all.
What's the chance it lasts for more than 10 hours on a single charge? Assume that it was sold already fully charged from the beginning.
(Note: You should ignore any technological equipment such as the screen, processor, etc, and treat this as a mathematical question.)