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But, in my example there were two potential outcomes, pizza or salad.
I'll try a new example: Alice has two options, she could have $1,000,000,000,000,000,000,000.00 deposited into her bank account, or she could have that much added to her debt. She weighs the two options, and decides to take the deposit because she perceives it to be in her best interest. She could have chosen the second option, but she didn't because she perceived it to not be in her best interest.
Alice's judgement is based on all her memories and past experiences, as well as her current environment, and many other small factors. In order for her choice to be non-deterministic, she would need to abandon all judgement and make her choice completely random.
So essentially, what you're saying is that in order to have freewill and have control over our fate, we need to make all our decisions completely random, without any consideration of how they effect us.
