Home > Shelf, Compact Systems > Player Must
08 Feb

Player Must

Posted by No comments

Player Must
In the Delaware Play 3 lottery game, to place a "straight bet" a player must choose a 3-digit number....

In the Delaware Play 3 lottery game, to place a "straight bet" a player must choose a 3-digit number (with zeros allowed for any of the digits). To win the prize of $500, the player's number must match the winning number with all digits in the correct order. It costs $1 to play the game. What is your expected gain or loss when you play this game?

If you buy n tickets, then
n/1000 times you will win (500 - n) dollars
and (1000 - n)/1000 times you will lose n dollars.

Ignoring the denominator of 1000 for the moment:
n (500 - n) - (1000 -n ) n =
500 n - n² - 1000 n + n² =
500n - 1000n = -500n.

-500n / 1000 = -1/2 n
You expect to lose half your money.

Several examples are shown below:

If you bought tickets with every possible number,
they would cost you $1000.
You would get back $500.
Net, you would be down $500.
Thus each play would cost you -$500/1000 = -50c.

If you bought 500 numbers, you would break even
half the time and lose 500 half the time:
1/2 * -500 + 1/2 * 0 = 250. -250/500 = same return.

If you bought 200 tickets,
1/5 of the time you're up $300,
4/5 of the time you're down $200.
1/5 * 300 + 4/5 (-200) = 60 - 160 = -100.
-100/200 = -500/1000.

If you bought 1 ticket, then
999/1000 you're down $1,
1/1000 your up $499
999/1000 * -1 + 1/1000 * 499 = -999/1000 + 499/1000 = -500/1000

=

No items matching your keywords were found.



THE RECORD BUTLER 4-PACK Anti Static Record Cleaner & Handler. Soft Fleece Cradles Your Records Eliminating Dirty Fingers From Touching the Vinyl. The MUST HAVE Care Product For Every Audiophile THE RECORD BUTLER 4-PACK Anti Static Record Cleaner & Handler. Soft Fleece Cradles Your Records Eliminating Dirty Fingers From Touching the Vinyl. The MUST HAVE Care Product For Every Audiophile
List Price: $15.92
Sale Price: $15.92

Love your Vinyl! Many of your records have fingerprints, dust or dirt on them. These foreign substances will significantly harm your record and downgrade your audio experience! The Record Butler is an essential tool that safeguards against dirty hands touching your vinyl! Each pack contains 4 different graphic designs, (designs may vary from pack to pack)...


DBPOWER Car Headrest Mount Holder Strap Case for Swivel & Flip Style Portable DVD Player (9.5 inch) DBPOWER Car Headrest Mount Holder Strap Case for Swivel & Flip Style Portable DVD Player (9.5 inch)
List Price: $19.99
Sale Price: $10.99

Description: This Portable DVD Player Car Headrest Mount is designed for 9 or 9.5 inch swivel & flip style portable DVD players. Note: Player must be able to swivel & flip at least 180 degrees. If your player's LCD screen can swivel and flip to a tablet style, our car headrest holder is a great choice for you to watch movies on the go in the back of your car! Specifications: Product material: Nylon Holder size: 25 * 18...


AGPTEK A01T 8GB Bluetooth MP3 Player Touch Screen with FM/ Voice Rocord, Lossless Sound Metal Music Player with Touch Button & Independent Lock, 1.8 Inch TFT Screen, (Support up to 128GB),Black AGPTEK A01T 8GB Bluetooth MP3 Player Touch Screen with FM/ Voice Rocord, Lossless Sound Metal Music Player with Touch Button & Independent Lock, 1.8 Inch TFT Screen, (Support up to 128GB),Black
List Price: $46.99
Sale Price: $36.99

AGPTEK A01T 8GB Bluetooth mp3 player is a slim and sleek mp3 player with touch button and 1.8inch TFT screen. Hi-Fi sound quality and metal shell provides you excellent user experience. Bluetooth function makes you free from worry about tangle cables...


(2 Pack)Multi Charger,KINGBACK Retracrable 4 in 1 Multifunctional USB Cable Adapter Connector with Type C/Micro USB/8 Pin Lighting/30 Pin for iPad,iPhone 7 Plus,Andriod,and More (2 Pack)Multi Charger,KINGBACK Retracrable 4 in 1 Multifunctional USB Cable Adapter Connector with Type C/Micro USB/8 Pin Lighting/30 Pin for iPad,iPhone 7 Plus,Andriod,and More
List Price: $25.99
Sale Price: $10.99

[KINGBACK] Make charging easier and safer Having this 4 in 1 multi charging USB cable for yourself and your friends when needed.Perfect for home use and office or business and travel. No more spending seconds de-tangling,just unroll and charge...


Sylvania SRCD243 Portable CD Player with AM/FM Radio, Boombox(Green) Sylvania SRCD243 Portable CD Player with AM/FM Radio, Boombox(Green)
List Price: $27.93
Sale Price: $25.86
Used From: $18.00

Sylvania Portable CD Radio features, AM/FM radio, CD-R compatible CD player, Skip Search functions, 20 track programmable memory, and AC/DC adapter.


J-Tech Digital Premium Quality 1080P HDMI To HDMI + Audio (SPDIF + RCA Stereo) Audio Extractor Converter (Support Apple TV 4 Gen) J-Tech Digital Premium Quality 1080P HDMI To HDMI + Audio (SPDIF + RCA Stereo) Audio Extractor Converter (Support Apple TV 4 Gen)
List Price: $25.99
Sale Price: $25.99
Used From: $17.00

This device extracts the digital audio signal from the HDMI input and converts it to 2 channel analog stereo output or 5.1 channel Audio outputs. To improve our customers experience, we posted the following three methods if you experience no sound from output...


RUIZU Sport Bluetooth 16 GB MP3 Player Hifi Lossless Sound with FM Radio -Support up to 64GB Micro SD Card-Blue RUIZU Sport Bluetooth 16 GB MP3 Player Hifi Lossless Sound with FM Radio -Support up to 64GB Micro SD Card-Blue
List Price: $50.99
Sale Price: $30.59

RUIZU16GB Sport Bluetooth MP3 Player Sound style is very bold,Beauty is lossless Menu return button, one hand control Move HIFI Bluetooth fast connection,playtime is long Bluetooth function Support Bluetooth version 3...


AGPTEK A12 8GB Clip Bluetooth Mp3 Player, Sports Clip Hi-Fi Sound Music Player with FM Radio, 1.1inch OLED, Sweatproof Silicone Case, Support up to 128GB, Dark Blue AGPTEK A12 8GB Clip Bluetooth Mp3 Player, Sports Clip Hi-Fi Sound Music Player with FM Radio, 1.1inch OLED, Sweatproof Silicone Case, Support up to 128GB, Dark Blue
List Price: $39.99
Sale Price: $25.99

Lossless stereo sound: Enjoy music with various formats such as MP3/ WMA/ APE/ WAV/ FLAC while exercising with the AGPtEK A12 Bluetooth Clip Sport MP3 Player.Perfect for exercise / gym use: This lightweight yet durable MP3 player delivers dynamic sound quality and can clip right to your clothing, frees up your hands and pockets during workouts...


Portable CD Player, VIFLYKOO Portable Compact CD Player with LCD Display, Shockproof Function Personal Compact Disc CD Walkman With Headphone Jack, Anti-Skip Protection And Power Adapter (Black) Portable CD Player, VIFLYKOO Portable Compact CD Player with LCD Display, Shockproof Function Personal Compact Disc CD Walkman With Headphone Jack, Anti-Skip Protection And Power Adapter (Black)
List Price: $61.99
Sale Price: $61.99

Description: If you are a CD enthusiast, the CD player would be your best choice for its high-quality and fashionable design. Portable and lightweight are easier to carry, and the broad compatibility meets you different demands, let the music into your daily life...


DVI to HDMI, CableCreation [2-PACK] Gold-Plated DVI to HDMI Adapter, Male to Female Converter DVI to HDMI, CableCreation [2-PACK] Gold-Plated DVI to HDMI Adapter, Male to Female Converter
List Price: $11.99
Sale Price: $6.39

Brand Guarantee CableCreation Focus to the Ideal Design of All of Our Quality Cables. CableCreation is not Only a Brand But Also a Creative Team With Own Factory Manufacturing. CableCreation is Confident to Offer All Buyers with Items Lifetime Warranty...

Referee hits player: then he must run for his life

  1. No comments yet.
  1. No trackbacks yet.