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> Isn't it worth it to purchase the Applecare warranty for $250 which extends the warranty period to 3 years?

payoff * Probability of payoff = EV

3000 * Probability of payoff = 250

3000 * P / 250 = 250/250

3000 / 250 * P = 1

12 * P = 1

∴ P = 1 / 12

You require 8.3% of the computers to fail in years 2 and 3, and for the failure to cause $3000 worth of 'damage' avoidance, and for it to be something covered under the warranty terms, for your gamble to make sense.

Judging by the fact they offer the warranty, I would imagine the fail rate to be somewhat lower than this, or for the failures to be vastly less expensive than that - else they'd be losing money.



Or that they lose money on the warranty and make up for the loss in other ways.

It's a necessary part of the package.




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