The problem asks you to find the probability that you have die 3 if all three rolls are red.

The best way to approach this

P(D3 | R1 n R2 n R3) = P(D3 n R1 n R2 n R3)/P(R1 n R2 n R3)

find the probability of rolling three reds with die three divided by finding the probability that you roll a red 3 times.

These both can be easily done with further iteration of the process you use in 3.4b

Alumni Liaison

Ph.D. on Applied Mathematics in Aug 2007. Involved on applications of image super-resolution to electron microscopy

Francisco Blanco-Silva