A pair of dice is tossed twice. Find the probability that both rolls give a sum of 6
Solution: We are given that a pair of dice is tossed twice and we have to find the probability that both rolls give a sum of 6.
There are 62=36 ways to roll a pair of dice. These are:
There are five ways of getting a sum of 6 for each pair.
Therefore, the probability that the first pair sums to 6 is:
And the probability that the second pair sums to 6 is:
Therefore, the probability that both rolls give a sum of 6 is:
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