Question

Two different dice are rolled together. Find the probability of getting:

(i) The sum of numbers on two dice to be 5.

(ii) Even numbers on both dice

Answer 1

(i) (1, 4) ; (2, 3) ; (3, 2) and (4, 1) = 4 outcomes
Probablity = Number of favorable outcomes/Total number of possible outcome
=4/36 = 1/9

(ii) (2, 2) ; (2, 4) ; (2,6)
     (4, 2) ; (4, 4) ; (4,6)
     (6, 2) ; (6, 4) and (6, 6) = 9 outcomes
Probablity = Number of favorable outcomes/Total number of possible outcome
=9/36 = 1/4
       

Answer 2

Answer:

¡) let P(E) be the event of getting sum on both dice as 5.

 Total no.  Of outcomes=36

 Favorable outcomes = (1,4), (2,3)                                                      (3,2),(4,1) =4

P(E) = 4/36

      =1/9

¡¡) let P(F) be the event of getting even no.  On both dice

  Total outcomes=36

  Favorable outcomes = (2,2),(2,4),(2,6),(4,2),(4,4),(4,6),(6,2),(6,4),(6,6)=9

P(F)=9/36

     =1/4