This is a general principle of security in general: something is only truly secure if it remains secure even when you know exactly how it works. Anything else is "security by obscurity"
Closed source software is like a mysterious lock where you have no idea how it works. You can take the company's word that it's secure, but really you just don't know. One day someone may just show up able to waltz right into your house. If the design of the lock is public for everyone to see, you can examine it yourself if you're knowledgeable in such things, or else rest secure knowing that plenty of knowledgeable people have deemed the lock good enough for their homes
That's my favorite way of explaining open source to non-computer people
Ma Bell is a mean mother!