Being a photographer, many pros suggested not shooting a wedding on just one SDHC card. Such as shooting at a wedding, shoot on multiple cards just in case one card goes corrupt. But some internet mathematician pointed out that it's more mathematically safe to shoot on one SDHC card. The low failure rate is such, that you increase your possible failure rate with each additional card (Ie. Using 4 8gb cards in place of 1 32gb card increases the odds of a card failure by 4x).
Would this apply to wallets? I looked up risk probability on Google but couldn't figure it out.
Right now, the bulk of my funds are stored in (1) Electrum and (2) a brain wallet that never touched the Internet. I also use blockchain.info (3) & (4) as hot wallets for spending. I also use Mycelium, Multibit and Dark Wallet but those are just intermediaries with no money ever held there. Personally, I feel most safest with electrum, and maybe the cold storage brain wallet. A little afraid though that some future quantum computer could some day figure out the random seeds on Electrum and the Brain Wallet.
This is not rocket surgery.
You're very simply spreading your risk and its a trade-off. You're more likely to have any
one thing (wallet, card, whatever it is) fail, but if it does, your total loss is only a fraction of the whole.
And when it comes to money, it is generally prudent to spread your risk which is why
smart investors diversify their portfolios.
If you really want the math:
Assume you had five wallets, each with a 1 percent chance of failure.
(99% chance of success of safe storage).
.99 to the fifth power is approx 95%, so now it's a 5% chance you'll
Lose 20% or more of your money! rather than 1%.
But .01 to the fifth power means it's only 0.00000001% chance
You'll lose ALL YOUR money. So you decide.
As far as Electrum, I highly recommend it and also using the cold storage brain wallet. Great choice!
Just make sure the cold storage really is cold and you have a secure way to recover your own seed.
I wouldn't worry about quantum computers. The 12-word electrum seed is chosen from a 1626
dictionary, giving you 128 bit security, with an additional 16 bits of security added in with key
stretching for a total of 144 bits of security. The maximum security you can get with bitcoin
private keys right now is 160 bits...therefore if quantum computers ever became a threat,
all of bitcoin would have to upgrade, not just electrum.
Also, to the critics of brain wallets, Electrum does it right using computer generated entropy
(you CANNOT enter your own arbitrary seed), so no one can guess it....and for those that say don't
use brain wallets because you never know if the method could change to retrieve the
private keys, I've provided a stand-alone python script using the current electrum method,
just in case you don't trust the electrum developers would consider backwards compatibility. (see the electrum subforum)