Let N be the size of the population that the villain abducts from
Let X be the event that you are abducted
Let R be the outcome of the villain’s roll
Let C be the event that you have control of the real switch
If 1-5 is rolled, then the probability that you are abducted is P(X|R∈{1,2,3,4,5}) = 1/N
If 6 is rolled, then P(X|R=6) = (N-1 choose 9)/(N choose 10) = ((N-1)!/(9! * (N-10)!)) / (N!/(10! * (N-10)!)) = 10/N
The probability of getting abducted at all is P(X) = P(X|R∈{1,2,3,4,5})P(R∈{1,2,3,4,5}) + P(X|R=6)P(R=6) = (1/N)(5/6) + (10/N)(1/6)
The probability that a six was rolled given that you were abducted: P(R=6|X) = P(X|R=6)P(R=6)/P(X) = (10/N)(1/6)/((1/N)(5/6) + (10/N)*(1/6)) = 2/3
So as it turns out, the total population is irrelevant. If you get abducted, the probability that the villain rolled a 6 is 2/3, and the probability of rolling anything else is its complement, so 1/3.
Let’s say you want to maximize your chances of survival. We’ll only consider the scenario where you have control of the tracks.
Agree with merging. We could use tags in post titles (e.g. [Recipe], [BBQ], [Ask], etc) so we can easily pick out those that interest us, and also allow us to see if a particular subtopic is gaining more popularity.
Ridiculously expensive housing without the salaries to match. But at least I don’t have to worry about going broke if ever someone in the family gets sick I guess.
I don’t understand what you’re trying to say with the yield. The rice didn’t go anywhere. The nutritional value of that pot of rice is the same regardless of how you cook it. Different methods just produce rice that absorb different amounts of water, so the weight is different.
If I had to choose only one, it would be a desktop. The experience of using a machine with a good keyboard/mouse and large monitors can’t be beat, plus it’s much cheaper for the same quality of hardware. The main downside is that it’s not portable. Whether I’m working or gaming, I’m confined to that one desk. I can’t work on the couch, in the park, in the waiting room at the doctor’s office, or anywhere else I might find myself that day.
The ideal setup is to have both. A desktop for when I can be at my desk, and a cheap laptop that I can use to remote into said desktop. That way, you get the convenience of a laptop with the power of a desktop at a much more reasonable price.
I have a subscription to Holfood and I love it. It definitely makes life easier. For me, the advantages I get from meal replacement shakes are
it saves me from having to decide what to eat so I can put that energy towards things I actually care to do
it’s not very filling, so i can have a shake fairly soon after a solid meal and fit more calories into my day
Probably much healthier than any other meal I can make in the same amount of time
Very tasty in my opinion, but that’s down to personal preference
Makes solid meals much more enjoyable because they’re no longer mandatory, you don’t have to eat so much that you get sick of the foods you normally enjoy, and you can choose your solid meals to maximize enjoyment rather than nutritional value
The main con is that it’s expensive relative to cooking for yourself. But if you factor in the time savings, it may not actually be any more expensive.
Parenting is a 24/7 job. You need to take your breaks while on the clock be everyone you’re never off the clock. Paying someone for childcare services is a job with a start and end time. You can take your breaks before or after. The expectations are different because the jobs are different.
There is also a chance that your switch is not connected and someone else has control of the real one. So there is an implicit assumption that everyone else is equally logical as you and equally selfish/altruistic as you, such that whatever logic you use to arrive at a decision, they must have arrived at the same decision.
Ah, yes. I forgot to account for that in my calculations. I’ll maybe rework it when I find time tomorrow.
I’m not saying the expertise doesn’t exist. The point is that so much of our personal information is given up because of how technology is ingrained in our every day lives, so every move you make is recorded somewhere. If the general population doesn’t have that kind of access to technology, then you can’t record their every movement.
I’m living through this right now. I don’t need anyone else to tell me anything. My partner and I alternate on childcare while the other person handles other household duties and day job duties. Our parents come by regularly to help out and we use that time to catch up on sleep as best as we can. Paying for childcare doesn’t make sense as it just negates most of one person’s income. If I’m going to be working anyway and not resting, I’d much rather put that energy towards my kid and have less money than be away but have sightly more money.