Hard very Hard Problem

[Ben12]

So person A and B are in a race. Person a flips a coin and if heads rolls a dice and tries to get a 6. If these conditions are met person A wins. If at any time she flips tails or rolls a 1-5 she has to restart the entire thing. Person b does the same thing with the same rules but in the opposite order (rolls die then flips coin). Who is more likely to win the race?

 

[Deleted member 4993]

So person A and B are in a race. Person a flips a coin and if heads rolls a dice and tries to get a 6. If these conditions are met person A wins. If at any time she flips tails or rolls a 1-5 she has to restart the entire thing. Person b does the same thing with the same rules but in the opposite order (rolls die then flips coin). Who is more likely to win the race?

Please follow the rules of posting in this forum - enunciated at:

https://www.freemathhelp.com/forum/threads/read-before-posting.109846/

Please share your work/thoughts with us - so that we know where to begin to help you. Also include the context - topic being taught in class now.

Please post the EXACT problem as it was presented to you.

Hint: Think first - Flipping a coin and rolling a dice - are these independent events?

 

[Steven G]

Please do NOT use A and a to represent the same variable as they are not the same variable.

Also, please show us your work so we can help you.

 

[Dr.Peterson]

I assume that A and B are taking turns, not just flipping as fast as they can! But are they doing this simultaneously, or does A go first, then B?

What is the probability, on any one turn, that A will win? What is it for B?