simple pro. question plz solve

[econ14]

suppose two trials of a random experiment, in which a fair coin is tossed and a fair die
is rolled simultaneously, are carried out under the same conditions. What is the
probability that the outcome `the coin shows a head and the die shows a number
divisible by 3' is observed in at least one trial?
(a) 9/144
(b) 44/144
(c) 60/ 144
(d) 80/144

[Dreyfus]

Its 44/144
Use binomial distribution
P(X>=1)=1-P(X=0)
P(X=0)=2C0*p^0*(1-p)^2
Where p=0.5*(1/3)=1/6

[mrittik]

the probability divisible by 3 is = 2/6....now tossing coin and rolling dice are independent to each other...so p=1/2*2/6=1/3....the required probability=1-(1-1/6)^2=11/36=44/144.