What helped me is the fact that the only way you WON'T win by switching, is if you correctly choose it the first time. And that only happens 1/3 of the time
The problem I always had with this (and still have) is that you're not asked about the probability (i.e. what trend you expect to see in a string of repeated experiments), but rather you're asked:
"Is it to your advantage to switch your choice?"
Well that depends on where the prize is. If the prize is behind the other door, then yes it's to your advantage to switch. Otherwise, it isn't. How can there be any more to it than that? You're not going to be given the opportunity to play the game 100 times. This is your one shot and the location of the prize is already fixed.
Well if you don't switch then your odds of winning are a simple 1 out of 3. Switching inverts your initial guess, so instead of losing 2 out of 3 times because your initial pick was wrong, switching makes you win 2 out of 3 times when your initial pick is wrong.
Imagine there are 100 doors. You pick one at random. You have a 1 in 100 chance of getting the right answer.
If the host opens all the doors that contain the booby prizes bar one (in this case 98 goats) and leaves one door remaining, plus your original guess, it's pretty obvious you are unlikely to have guessed correctly on your first try.
Scale it down to 3 doors and the host always revealing a goat and you have the same situation except there's a 1 in 3 chance you'll win by sticking with your first guess and a 2 in 3 chance if you swap.
Right, it's your one shot. So what gives you better odds (that is, is to your advantage). If you don't switch, you're selecting the lower odds chance of winning, putting yourself at a disadvantage. Since you don't know where it is, but do have a chance to double your chance of winning, then switching is advantageous.
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The only problem is that they'll let you go negative for awhile before they shut you off. Then they won't let you use any services until you pay your balance. So unless you're willing to make a new account each time you go over your $5 max, you'll still be paying for the extra usage
The MBP gets all 8 GPU cores, the MBA gets 7 (but you can upgrade the MBA to get all 8 for effectively $50 with a $200 upgrade to the storage as well). Touchbar and bigger battery. I think those are the only differences
That would seem to imply whatever quality it has resembles a studio microphone. It doesn't say 'Quality Studio Microphone' after all.
It reminds me of my recent purchase of an electric shaver. The front of the box proudly proclaimed 'WAHL: The Brand Professionals Use.'
It wasn't until I got home and started opening it that I saw a little bit of fine print on the side of the box: "not to be used in a professional capacity."