Answer: 2/15
Work Shown
A = probability of rolling a number less than 3
A = probability of rolling either 1 or 2
A = 2/6 = 1/3
B = probability of getting a blue section
B = 2/5
C = probability that events A and B happen together
C = A*B
C = (1/3)*(2/5)
C = (1*2)/(3*5)
C = 2/15