Expected Value of a Dice Game — practice

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Expected Value of a Dice Game[ OK ] 820 — full content available
[ INFO ] category: Coding · Quantitative  difficulty: easy  freq:   first seen: 2026-02-18
[EASY][QUANTITATIVE]probabilityexpected-valuedice
$ cat problem.md
You roll a fair six-sided die. You win $X where X is the number shown on the die, except:
If you roll a 6, you lose $3
If you roll a 1, you can re-roll once
What is the expected value of this game? Should you play if it costs $3 to enter?
user@intervues:~/practice$ 
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[ OK ] Loaded  — 
[ INFO ] 
$ cd 
$ ls -lt 
01
02
03
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05
$ ls -lt 
01
02
03
04
05
user@intervues:~/$ 