Kyle draws 5 cards from a standard deck of cards. The probability that he has a flush (including straight and royal flushes) is From the remaining 47 cards, Linh draws 5 cards. Given that Kyle has a flush, what is the probability that Linh has a flush?
Kyle hosts a DataSkeptic podcast, which explores topics in statistics, machine learning, big data, artificial intelligence, and data science. He focuses on scientific skepticism, misconceptions, and misinformation in these topics.
How many positive integer solutions does the equation have, where
Going up! You get into a stationary elevator with a bouncing ball. Its collisions with the floor are perfectly elastic; it always bounces to the same height—in an inertial frame. In this problem, we will simulate what happens to the bounce as the elevator’s acceleration increases very slowly over time.
Suppose at the height of the ball's bounce is and the elevator begins accelerating upward with a slowly increasing rate When the acceleration of the elevator reaches what is the peak height of the ball above of the floor in each bounce?
Details & Assumptions
NASA has captured an extraterrestrial space probe that has been in space for millions of years. The probe was operated by a kind of radionuclide battery, which on launch consisted of a pure block of plutonium-244. Now, the isotope ratio between thorium-232 and plutonium-244 is 1:1 due to the radioactive decay
How long was the probe in space? (Specify the time in millions of years and round it to the nearest integer.)
Details and Assumptions:
I have two distinct, fair, six-sided dice that have positive integers on their sides. Neither of the dice is a "normal" die (i.e., with 1, 2, 3, 4, 5, and 6 on the sides).
Interestingly, the probability distribution of the sum of rolling these two dice is exactly the same as that of the sum of rolling 2 "normal" dice.
Let the numbers on the first die be and those on the second where and
Submit your answer as the product of these two 6-digit integers:
The dice above have 1,1,2,2,4,8 and 1,2,3,3,4,4 on their sides. Their sum can produce the same numbers (2-12) as the sum of two ordinary dice, but not with the same probability distribution.