# What is the probability that the sum of the 2 rolls is less than 6 given that the first roll is a 3?

The probability is

Sum of two rolls must be less than 6.

So the sum of rolls must be equal to or less than 5.

The first roll is given 3.

The second roll may be 1 to 6. So, total number of events 6

The number of favourable events - First roll Second roll 3 1 3 2

Number of favourable events 2

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The probability that the sum of the two rolls is less than 6 given that the first roll is a 3 is 2/6 or 1/3.

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