Skip to content

Random Permutations

Sean Eberhard's mathematics blog

Blog
About me
Resources

Hit the ball hard

Sean Eberhard current-events, teatime-puzzles 2021-06-292021-06-29

Happy Wimbledon. Another teatime puzzle.

Let’s say we have a player with an extremely powerful but inconsistent serve. Half the time she aces, half the time she faults. What is the probability that she wins her service game?

Share this:

Twitter
Facebook

Like this:

Like Loading...

Related

Published by Sean Eberhard

View all posts by Sean Eberhard

Published 2021-06-292021-06-29

Post navigation

Previous Post Weak subgroups

Next Post The apparent structure of dense Sidon sets

2 thoughts on “Hit the ball hard”

James says:

2021-06-30 at 08:43

hmm, I know the answer if the probability of a fault is 1/sqrt(2) instead of 1/2….. 🙂

LikeLike

Reply
1. Sean Eberhard says:
  
  2021-06-30 at 08:57
  
  Very good. I thought about making that another part of the question
  
  LikeLike
  
  Reply

Leave a Reply Cancel reply

Enter your comment here...

Fill in your details below or click an icon to log in:

Email (required) (Address never made public)

Name (required)

Website

You are commenting using your WordPress.com account. ( Log Out / Change )

You are commenting using your Facebook account. ( Log Out / Change )

Connecting to %s

Notify me of new comments via email.

Notify me of new posts via email.

Δ

Recent Posts

Postdoctoral position in algebra and/or combinatorics in Belfast 2023-03-24
Research Updates: Boston–Shalev for conjugacy classes, growth in linear groups, and the (amazing) Kelley–Meka result 2023-02-21
Groups of order 2023 2023-01-04
A talk about Babai’s PCC conjecture 2022-02-23
Joseph’s conjectures about commuting probability 2022-02-17
The apparent structure of dense Sidon sets 2021-07-14
Hit the ball hard 2021-06-29
Weak subgroups 2021-04-26
2020 Christmas crossword 2020-12-25
Talk at TAU about Babai’s conjecture in high rank 2020-11-23
A thought about pancakes 2020-08-10
The characteristic polynomial of a random matrix is almost always irreducible 2020-08-05
Babai’s conjecture for classical groups with random generators 2020-05-21
Jan Saxl 2020-05-04
How to evaluate an ordering quiz 2020-04-24
Webinar in Additive Combinatorics 2020-04-15
Mixing time of a pseudorandom number generator 2020-03-19
Thoughts on coronavirus 2020-03-18
An asymptotic for the Hall–Paige conjecture 2020-03-05
The avoidance density of (k,l)-sum-free sets 2020-01-17
A simple group of order 44 2020-01-16
Separating big sticks from little sticks, and applications 2019-12-30
Invariable generation of classical groups 2019-10-16
Symmetric intersecting families 2019-09-26
A teatime puzzle 2019-08-30
Mathematical handwriting 2019-08-22
Returning to Cambridge 2019-07-26
Random generation with cycle type restrictions 2019-04-30
Random generation of the special linear group 2019-03-29
Permutations with equal orders 2019-01-01
Generating direct powers of a simple group 2018-12-26
Probability that two permutations have the same order 2018-10-09
latex2wp: a tool for converting LaTeX to WordPress-ready HTML 2018-10-03
Rebooted blog 2018-09-23
Representation theory, for the impatient 2016-02-23
The Kronecker factor of an ultrafinite group 2015-02-09
Commuting probability of compact groups 2015-02-06
Leon Green’s theorem 2015-01-29
Joseph’s conjectures on commuting probability, an ultrafinitary perspective 2014-11-19
The idempotent theorem 2014-11-13
Erdős–Turán statistical group theory 2014-03-31
How many lattices are there? 2013-11-25
Total ergodicity 2013-05-28
Fekete’s lemma and sum-free sets 2013-01-13
Constructible regular polygons 2012-09-13
Generating direct powers 2012-03-27
The probability of coprimality 2012-03-24
Volume of the $n$-ball 2012-03-13
Rationals are repeating p-adics 2012-01-19
Inducing a Haar measure from a quotient 2012-01-19

Follow Following
- Random Permutations
- Already have a WordPress.com account? Log in now.

%d bloggers like this: