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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: 7, 8 Or 9 - ICSE Class 10 - Mathematics

ConceptProbability - A Theoretical Approach

#### 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:

7, 8 or 9

#### Solution

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

Favorable  outcome for the sum of number7,8 or 9are:

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

Number of favorable outcomes= 15

p(getting a sum of 7,8 or 9 ) =15/36=5/12

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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: 7, 8 Or 9 Concept: Probability - A Theoretical Approach.
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