Imagine an HIV test that is 95% accurate (false positive rate of 5%) and around 2% of the tested population is infected with HIV. What is the probability that you actually have HIV when your test comes back positive?
Silver tears falling down, Nature’s clear imposter, Sparkling, shining like a gown, Adorn an elephant or horse, Silver, PVC or even lead, Bringing cheer to all around, For such a simple thread.
Tinsel emulates icicles, which are like tears and are clear in nature. Tinsel sparkles and shines, and is used to adorn elephants and horses in India. Tinsel is made from silver, PVC and was once made from lead. Tinsel brings back fond memories to many (including myself) and represents far more than a simple metallic thread would normally warrant.
A similar problem can be found in L.A. Graham’s Ingenious Mathematical Problems and Methods with a range of 1 to 9, but the principle remains the same – the numbers with the smallest difference produce the largest product. You start out with the highest two digits, 7 and 6, then attach 5 and 4, putting the smaller of the two digits with the larger number, giving you 74 and 65. The next two highest digits are 3 and 2, giving you 742 and 653. Finally, you add the 1 to the lower number. Page 80 has the details of that solution.
A circular island with a diameter of 30 feet has a 30 foot tree stands at the center. A man cuts the tree down with his chainsaw, making the cut a foot up from the ground. The tree comes crashing down and hits the water but doesn’t splash. Why not?
Hannah, Otto, Todd and Eve were walking down the street. Suddenly Otto rudely told Todd he was an outsider and didn’t belong. What made Todd different?
Water. As ice I’m hard and cold, as water vapor I’m hard to hold and I’m always present in the air as humidity (aka water vapor). If the earth ever runs out of water, we’re toast.