Probability Box 1 contains 2 red balls and 1 blue ball. Box 2 …
Box 1 contains 2 red balls and 1 blue ball. Box 2 contains 3 blue balls and 1 red ball. A coin is tossed. If it falls heads up, box 1 is selected and a ball is drawn. If it falls tails up, box 2 is selected and a ball is drawn. If the ball is red, what is the probability it came from box 1? (The given answer is 8/11 but i have no idea how they ...
Determining final speed of a billiard ball after elastic collision
Nov 13, 2018 · A billiard ball traveling at 3.00 m/s collides perfectly elastically with an identical billiard ball initially at rest on the level table. The initially moving billiard ball deflects 30.0° from its original direction. What is the speed of the initially stationary billiard ball after the collision?
Orthogonal Projection onto the $ {L}_{1} $ Unit Ball
Jun 18, 2017 · Combining these steps, the overall 1-norm projection of a vector x can be written as: y = RT(Proj∞(Rx × √2) ÷ √2) This formula represents the entire process of projecting a vector onto the 1-norm unit ball using rotation and scaling in conjunction with the infinity-norm projection. I've tried this in R2 and it is correct.
Urn I contains - Mathematics Stack Exchange
Urn I contains $2$ white and $4$ red balls, whereas urn II contains $1$ white and $1$ red ball. A ball is randomly chosen from urn I and put into urn II, and a ball is then randomly selected from urn II. What is . the probability that the ball selected from urn II is white?
I need help to check if my solution to an expected value of …
May 13, 2018 · First a ball is drawn from the urn, and then a fair coin is tossed the number of times as the number shown on the drawn ball. Fin the expected number of heads. Now, what I have done so far is calculate the p.d.f for the problem as follows:
Is it true that the unit ball is compact in a normed linear space iff ...
Unit ball is closed because it is preimage of the closedd set $[0,1]\subset \mathbb{R}$ under the continuous map $$ f:X\to\mathbb{R}_+:x\mapsto\Vert x\Vert $$ ($\Rightarrow$) Prove ad absurdum. Use Riesz lemma , to construct a sequence $\{x_n:n\in\mathbb{N}\}\subset B$ with the property $$ \forall n,m\in\mathbb{N}\qquad n\neq m\implies \Vert x ...
Probability of first and second drawn balls of the same color, …
What they probably mean is: the chances you draw a ball of a certain color for the very first time, and the second time you draw one of the same color. E.g., for the chances of two white balls, it could be: rrWrWrwrwwww (where caps W are the ones we will calculate the chances for), while I was thinking it had to start with two white balls.
How to find the time it takes for a ball to hit the ground?
May 13, 2022 · For question $2$, the answer for the time it takes for the ball to reach the ground was $3$ seconds. I used the quadratic formula for question 2 after simplifying the equation and received $3$ seconds as my answer.
Cricket Probability question - Mathematics Stack Exchange
Apr 28, 2015 · I imagined that there are only 2 fielders present on the ground and one of them throws the ball up in the air.The probability that the ball will land up on others head will be (going by the same logic) 1/2 irrespective of the distance. …
When is the closure of an open ball equal to the closed ball?
Mar 12, 2016 · Proper inclusion between open ball, closure of open ball and the closed ball in a metric space 1 A modified question of some properties of compact set with no isolated point