two dice are thrown.find the probability of getting : a sum of 10
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3/2 is the probability
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The Two Dice are thrown :-
The possible Out Comes 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)
where the first dice is represented by 1st place and second dice represent in 2nd place.
Now we will find the dice pair which satisfies the given condition :-
(4,6) , (5,5) , (6,4)
The cardinality is 3.
Hence the probability that the sum of two dices is 10 is :-
No. of possibilities/Total no. of chances
= 3/36
= 1/12 [Ans]
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