Mark (√) against the correct answer in each of the following:

A die is thrown twice, and the sum of the numbers appearing is observed to be 7. What is the conditional probability that the number 2 has appeared at least one?


The die is thrown twice,


So the favourable outcomes that the sum appears to be 7 are


(1,6), (2,5), (3,4), (4,3), (5,2) and (6,1)


Out of these 2 appears twice,


So the probability that 2 appears at least once is:


=


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