Dice prob.: dice numbered 1,1,3,3,7,7 & 2,2,4,4,6,6; find prob. Sonia wins

[borgb05]

I need some help please

 

[borgb05]

Sonia and Carla are playing a game using two fair, six-sided dice. Each dice is numbered as shown:

. . .Sonia's dice: numbered 1, 1, 3, 3, 7, 7

. . .Carla's dice: numbered 2, 2, 4, 4, 6, 6

Both friends throw their dice. The winner is the one who scores the higher number on her dice.

By drawing the possibility space or by using a tree diagram, find the probability that Sonia wins.

 

[stapel]

Sonia and Carla are playing a game using two fair, six-sided dice. Each dice is numbered as shown:

. . .Sonia's dice: numbered 1, 1, 3, 3, 7, 7

. . .Carla's dice: numbered 2, 2, 4, 4, 6, 6

Both friends throw their dice. The winner is the one who scores the higher number on her dice.

By drawing the possibility space or by using a tree diagram, find the probability that Sonia wins.

What are your thoughts? What have you tried? How far have you gotten? Where are you stuck?

Please be complete. Thank you!

 

[pka]

Sonia and Carla are playing a game using two fair, six-sided dice. Each dice is numbered as shown:
. . .Sonia's dice: numbered 1, 1, 3, 3, 7, 7

. . .Carla's dice: numbered 2, 2, 4, 4, 6, 6

The following webpage tells you the number of ways for Sonia to get any sum.
For example \(\displaystyle 2x^{10}\) tell us that the sum ten occurs in two ways.

Here is the same for Carla,

Now show us the probability table.