The experimental (aka empirical) probabilities of each are
P(A) = 36/80 = 9/20
P(B) = 16/80 = 1/5
Note how P(A) is not 1/2 like we expect; however it's fairly close because 9/20 = 0.45 while 1/2 = 0.5 in slight contrast. The experimental probability never 100% lines up with the theoretical probability, but will get closer as you do more trials (due to the law of large numbers). A similar situation happens with P(B). The theoretical probability would be P(B) = 1/6 = 0.1667
Events A and B are independent, which allows us to multiply the probabilities:
P(A and B) = probability of getting tails and rolling a '2'
P(A and B) = P(A)*P(B)
P(A and B) = (9/20)*(1/5)
P(A and B) = (9*1)/(20*5)
P(A and B) = 9/100 which points the answer to choice C
Slight alternative method:
P(A and B) = P(A)*P(B) = (36/80)*(16/80) = 0.09 = 9/100
this method involves typing (36/80)*(16/80) into your calculator.