Could you please help me? This is the question and the information I have been given.

When you throw a pair of ordinary six-sided dice, and add their scores together you can get a total ranging from 2-12.

One of the dice is adapted slightly by changing the 2 to an 8. Can you adapt the second die so that they still perform in exactly the same way when thrown as a pair?

For example, the probability of a total of 10 remains 3/36=1/12 as before, and similarly for all the other totals from 2 to 12.

Thankyou!

Question

Could you please help me? This is the question and the information I have been given. 

When you throw a pair of ordinary six-sided dice, and add their scores together you can get a total ranging from 2-12.

One of the dice is adapted slightly by changing the 2 to an 8. Can you adapt the second die so that they still perform in exactly the same way when thrown as a pair? 

For example, the probability of a total of 10 remains 3/36=1/12 as before, and similarly for all the other totals from 2 to 12.

Thankyou!

zepdrix · Answer

Hey Claire!
$\large\rm \color{salmon}{\text{Welcome to OpenStudy! :)}}$

Hmmmm, my first inclination is to say that the 2 must be changed to a value on the other cube in order for us to make a change that will result in the same outcomes.

Butttttt... thinking... hmm...

rzlearner · Answer

same idea as zep here but im also just using logic.  :) lol