Dice Winning Probability

Question

You're rolling a dice. On 5 and 6, you win. On 2,3,4 you lose. On 1, you get to reroll the dice. What is your actual winning probability?

Answer 1

I am assuming winning means getting your back times two.

 

Each probability is  1/6  

 

1  =  reroll  =  0 return times 1/6

 

2  lose   -1 times 1/6 

 

3 lose -1 times 1/6

4 lose -1 times 1/6  

 

5 win   1 times 1/6 

6 win 1 times 1/6   

 

Sum over all possibilities  =  -1/6   =    -0.16666