Question

Two dices are thrown simultaneously. What will be the probability of getting numbers with difference 0 and 1?

Answer 1

Sample space = { (1,1),(1,2)...........(1,6)
                              (2,1), (2,2)..........(2,6)
                            ....................   
                              .....................(6,5), (6,6) }
 so, n(S)         =   36
Let A = difference of 0  = {(1,1), (2,2), (3,3), (4,4), (5,5), (6,6)}

     B =  difference of 1  = { (2,1), (3,2), (4,3), (5,4), (6,5)}

So, n(A) = 6/36
      n(B) = 5/36
so, the probability of getting numbers with difference of 1 and 0
           = n(A) + n(B) 
           = 6/36  +  5/36
          =  11/36