#### 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:

4 or 5

#### Solution

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

Favorable outcomes for the sum of numbers 4 or 5 are :

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

Number of favorable outcomes =7

p(getting a sum of 4 or 5)=`7/36 `

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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: 4 Or 5 Concept: Probability - A Theoretical Approach.