Q. 11

A die Is tossed twice. Find the probability of getting a number greater than 3 on each toss.

Answer :

We are throwing two dice so,


Sample space S={(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)}


Sample space contains 36 elements,


Let ,


A= getting a number greater than 3 on first toss


A={(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)}



B= getting a number greater than 3 on second toss


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



P(AB)=P(getting a number on each toss)


Given that A and B are independent events,




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