Two dice are rolled simultaneously. The probability that they show different faces is
Total numbers of elementary events are: 6 x 6 = 36
Let E be the event of getting of showing different faces on both the dice
Numbers of favorable events on first dice are: 6
Numbers of favorable events on second dice are: 5
Total numbers of favorable events are = 6 × 5 = 30
P (each dice showing different face) = 30/36 = 10/12 = 5/6