An experiment consists of rolling a die and selecting a marble from a bag. the bag has 7 orange, 3 pink, and 6 grey marbles. What is the probability of rolling a multiple of 3 and selecting a pink marble?

Question

Anwer: The two events are independent of each other, therefore we multiply.

For multiple of 3: 1/6 + 1/6 = 1/3

P(E and F)=P(E)*P(F)

= 1/3 * 3/16

=1/16

Can some please check my answer to make sure it is correct?

Thanks