Contestants in a game show are each given three pairs of numbers (for example, 2-3, 5-6, and 6-1). A person in the audience is randomly selected to roll two dice, one white and one red, where white symbolizes the first number in the pair and red the second number. What is the probability that each player has of winning?

Question

kitkat16 · Answer

Is it 2/3   ? 
anyone

kitkat16 · Answer

@Preetha can you help me please?

kitkat16 · Answer

@ganeshie8 can u help?

kitkat16 · Answer

6 numbers with 12 possible outcomes yes?

ganeshie8 · Answer

is that the complete question ? 
whats the criteria for winning ?

kitkat16 · Answer

but only 6 possible outcomes per dice

kitkat16 · Answer

yes that  is the complete question

kitkat16 · Answer

my choices are 
1/2
1/3
2/3
1/12
1/5
but Im confused how these apply

ganeshie8 · Answer

rolling two dies give you 6^2 = 36 total outcomes

ganeshie8 · Answer

out of that, only 3 are in your favor
so probability = 3/36 = 1/12

kitkat16 · Answer

I thought that but being that the 2 dice are different colors they are not combined?

kitkat16 · Answer

white one have 6 octcomes and the red one having 6 outcomes

ganeshie8 · Answer

you will get the same answer by analyzing like that

ganeshie8 · Answer

the total outcomes are :

white : 1     red : 1,2,3,4,5,6
...
white : 6     red : 1,2,3,4,5,6

ganeshie8 · Answer

that gives u 36 total outcomes ^

kitkat16 · Answer

ok thanks im just over thinking it. Not good at these word problems

ganeshie8 · Answer

overthinking (any kind of thinking) is always good for these problems :)

kitkat16 · Answer

lol thanks again :)

ganeshie8 · Answer

lets do this using ur idea :
6 total outcomes for white die,
3 are in favor

so the probability for getting correct on white is 1/2

ganeshie8 · Answer

So you must have gotten one of the first numbers :  2-3, 5-6, and 6-1 on first die

kitkat16 · Answer

yes

ganeshie8 · Answer

After that, there is only one favorable outcome for winning  -  the correct pair !

ganeshie8 · Answer

so probability for getting the matching pair on red die is : 1/6

ganeshie8 · Answer

the combined probability is  : 1/2*1/6 = 1/12

ganeshie8 · Answer

working it either way is okay...

kitkat16 · Answer

ok thanks the other way is easier though :)

ganeshie8 · Answer

yw

ganeshie8 · Answer

and yes the first method is shorter, but its a good to look these problems from different angles