perplexus.info :: Probability : Chuck-A-Luck

Chuck-A-Luck (Posted on 2020-10-22)

Chuck-A-Luck is a carny game in which 3 dice are tossed. You pick a number from 1 to 6. If one of the dice shows your number you gain the value of your bet; if two of the dice show your number you gain twice the value of your bet and if three of your number show, you gain three times the value of your bet. Otherwise you lose the amount you bet.

What is your expected loss for each game?

Submitted by Charlie

Rating: 3.0000 (1 votes)

Solution: (Hide)

(1/6)*(5/6)^2*3 + 2*(1/6)^2*(5/6)*3 + 3*(1/6)^3 - (5/6)^3 = -17/216

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Explanation to the Puzzle Answer	K Sengupta	2022-04-29 21:18:59
Puzzle Answer	K Sengupta	2022-04-28 22:46:06
No Subject	Fay Prosacco	2021-01-16 06:02:52
Check Biden Tweet to see the lastest post!	JANIE WONDE	2020-10-23 21:40:41
Alternate tabulation for solution	Jer	2020-10-22 12:54:47
Fair Game?	Steve Herman	2020-10-22 09:48:49

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