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If two loaded dice each have the property that 2 or 4 is three times as likely to appear as 1,3, 5 or 6 on each roll. When two such dice are rolled, the probability of obtaining a total of 7 is , then the value of  is, where  represents the greatest integer less than or equal to


Question ID - 153495 :-

If two loaded dice each have the property that 2 or 4 is three times as likely to appear as 1,3, 5 or 6 on each roll. When two such dice are rolled, the probability of obtaining a total of 7 is , then the value of  is, where  represents the greatest integer less than or equal to

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Answer Key : (7) -

(7)

Let the probability of the faces 1, 3, 5 or 6 be  for each face

Hence, probability of each of the faces 2 or 4 is

Now according to the question

And

 Required probability

(total of 7 with a draw of dice)



Next Question :

A die is thrown three times. The chance that the highest number shown on the die is 4 is , then the value of  is where [.] represents greatest integer function is


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