Tuesday, August 20, 2013

Two dice are thrown. what is the probability that the sum of dots is 4 or 6?

Assuming that the two dice are thrown together (and thus the "order" that the dice are thrown/land don't matter), there are 21 total pairs of dice values that can occur. They are as follows:


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


We must now find how many of these pairs sum to 4 or 6. These are:


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


So the probability of rolling a sum of 4 or 6 is `5/21`


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