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

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