Quantcast Statistics:Probability? - XP Math - Forums

XP Math Home Sign Up FREE! | Sign In | Classroom Setup | Common Core Alignment PDF Version

Go Back   XP Math - Forums > Welcome > Off-Topic Discussion

Thread Tools Display Modes
Old 07-27-2007   #1
Posts: n/a
Default Statistics:Probability?

Suppose you want to play a carnival game that costs 4 dollars each time you play. If you win, you get $100. The probability of winning is 3/100. What is the expected value of the amount the carnival stands to gain?1. 1.202. 1.103. 1.4. 1.305. 1.506. None of the above. PLEASE SHOW EVERY STEP
Old 07-27-2007   #2
Posts: n/a

For every 100 plays the carny takes in 400 and gives out 300.400 - 300 = 100 (per 100 plays)Therefore, the carny makes 100 for every 100 plays...so the carny makes 1 for every play.
Old 07-27-2007   #3
Lawrence R
Posts: n/a

Its (.97 x 4) - (100 x .03)Thats the probability of the event times its effect and then added and subtracted accordingly.3.88 - 3.88 is how I calculate it.Edit: People above me. Every hundred plays they pull in 388 dollars. That is for dollars 97 times. They pay out 100 dollars three times. Please explain how thats not the case. Im very curious.
Old 07-27-2007   #4
Posts: n/a

Mr. Lawrence, you are taking in on the fact that when the customer wins the prize, they still have to pay $4 to win.
Old 07-27-2007   #5
Posts: n/a

The formula to use is "Expected return to player" which is E(x) = x.p(x) where x is the return to player if they winand p(x) is the probability of winning.So here,x = $100 (return to player for winning)p(x) = 3/100 (probability of winning)Therefore expected return to player isE(x) = x.p(x) = $100 x 3/100 = $300/100 = $3Cost: $4Expected return to player is $3. Therefore Loss (to player) is Cost minus Expected return= $4 - $3 = $1

Thread Tools
Display Modes

Posting Rules
You may not post new threads
You may not post replies
You may not post attachments
You may not edit your posts

BB code is On
Smilies are On
[IMG] code is On
HTML code is Off

Forum Jump

All times are GMT -4. The time now is 11:11 AM.

Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2021, vBulletin Solutions Inc.
XP Math