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 product of numbers greater than 16?

Answer»

<P>`(7)/(36)`
`(2)/(9)`
`(1)/(4)`
`(11)/(36)`

Solution :Favourable outcomes are `{(3,6),(4,5),(4,6),(5,4),(5,5),(5,6),(6,6),}`
THUS number of favourable outcomes,
`n(E_(5))=7`
P(product of numbers greater than 16),
`P(E_(5))=(n(E_(5)))/(n(S))=(7)/(36)`
Thus ( c ) is correct option.


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