In a single throw of two dice, find

P (a number greater than 3 on each die)


We know that,


Probability of occurrence of an event


Total outcomes are (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6),


(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),


(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),


(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6) ,


(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6) ,


(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)


Desired outcomes are (4, 4), (4, 5), (4, 6), (5, 4), (5, 5), (5, 6), (6, 4), (6, 5), (6, 6)


Total no.of outcomes are 36 and desired outcomes are 9


Therefore, probability of getting number greater than 3 on each die



Conclusion: Probability of getting a number greater than 3 on each die, when two dice are rolled is


1