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Two Dice (Each Bearing Numbers 1 to 6) Are Rolled Together. Find the Probability that the Sum of the Numbers on the Upper-most Faces of Two Dice Is: Between 5 and 8 - ICSE Class 10 - Mathematics

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Question

Two dice (each bearing numbers 1 to 6) are rolled together. Find the probability that the sum of the numbers on the upper-most faces of two dice is: 

between 5 and 8 

Solution

When two dice rolled, total number of possible outcomes = 36 

Favorable outcomes for the sum of number between 5 and 8 i.e, 6 or 7 are: 

{(1,5)(1,6)(2,4)(2,5)(3,3)(3,4)(4,2)(4,3)(5,1)(5,2)(6,1)} 

Number of favorable outcomes = 11 

p(getting a sum of 6 or 7 = `11/36`

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Solution Two Dice (Each Bearing Numbers 1 to 6) Are Rolled Together. Find the Probability that the Sum of the Numbers on the Upper-most Faces of Two Dice Is: Between 5 and 8 Concept: Probability - A Theoretical Approach.
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