Jo rolls two six-sided dice once. What is the probabilty the two numbers rolled will be the same?

Please explain, and express your answer as a common fraction.Jo rolls two six-sided dice once. What is the probabilty the two numbers rolled will be the same?
OK





Let's show you : When Jo rolls, he/she has the following outcomes: if the first one was a one -





1 and 1


1 and 2


1 and 3


1 and 4


1 and 5


1 and 6


Here we see that there is a 1/6 chance the the two are the same.





The same will hold true if the first one is a 2,3,4,5 or 6.


So the chances are the same 1/6 for a total of 6/36 chances.





Well 6/36 = 1/6 chances.





Hope that helps.Jo rolls two six-sided dice once. What is the probabilty the two numbers rolled will be the same?
there are 36 combinations of a 2-die roll...





only the even numbers can have the same number rolled and there are 6 evens...





6/36 = 1/6
THere are 36 dIfFereNt possibilities (6x6)^^


THere are 6 dIfFereNt possibilities of two numbers being the same (6,6 5,5 4,4.....1,1)


so 6/36= the probabilty the two numbers rolled will be the same


= 1/6





^^
there are 6 possibilites to roll on the first die


and 6 on the second


so we multiply these two numbers


and find that we get 36 different possibilites of die rolls





(like 1,1 then 1,2 and so on)





There are 6 ways in which two numbers can be the same


1,1 2,2 3,3 4,4 5,5 6,6





so to find the prob. we use this formula





#desired outcomes/#possible outcomes





=6/36


=1/6





So, the probability that the two numbers rolled will be the same is 1/6.

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