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 the sum as a prime number ?

Answer»

`(5)/(12)`
`(1)/(6)`
`(7)/(12)`
`(11)/(12)`

Solution :FAVOURABLE outcome are {2, 3, 5, 7, 11}, which may be as follows
`{1(1, 1), (1, 2), (2, 1), (1, 4), (4, 1), (2, 3), (3, 2), (1, 6), (6, 1), (2, 5), (5, 2), (3, 4), (4, 3), (6, 5), (5, 6)}`
Thus number of favourable OUTCOMES,
`n(E_(1))=15`
P(sum as a prime number),
`P(E_(2))=(n(E_(2)))/(n(S))=(15)/(36)=(5)/(12)`
Thus (a) is correct option.


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