Assume you roll 2 dice (1 red and 1 blue). Let Rn be the event that the red die comes up on number n and likewise Bm be event that the blue die comes up on number m. Calculate the following:
(a) Pr(R1&B1)
(b) Pr(R1 or B1)
(c) P r((R1 or R2)&(B1 or B2))
(d) Pr(not (R1 or B1))
(e) Pr((R1&R2) or (B1&B2))
(f) Pr(R1 | R1 or R2 or R3)