1.

In two dice game, the player take turns to roll both dice, they can roll as many times as they want in one turn. A player scores the sum of the two dice thrown and gradually reaches a higher score as they continue to roll. If a single number 1 is thrown on either die, the score for that whole turn is lost. Two dice are thrown simultaneously. What is the probability of getting a doublet of even number ?

Answer»

<P>`(1)/(12)`
`(5)/(12)`
`(11)/(12)`
`(7)/(12)`

Solution :Favourable outcomes are `{(2,2),(4,4),(6,6)}`
Thus number of favourable outcomes,
`N(E_(3))=3`
P(doublet of even number),
`P(E_(4))=(n(E_(4)))/(n(S))=(3)/(36)=(1)/(12)`
Thus ( c ) is correct OPTION.


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