#### 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:

less than 6

#### Solution

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

Favorable outcomes for the sum of numbers less than i.e. 2,3,4,, or 5 are :

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

Number of favorable outcomes=10

P(getting a sum of less than 6)= `10/36=5/18`

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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: Less than 6 Concept: Probability - A Theoretical Approach.